Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^2=11
-
Equation 2*x^2+6*x+9=0
-
Equation 10(x-9)=7
-
Equation (x+2)^4+(x+2)^2-12=0
- Express {x} in terms of y where:
- -6*x-17*y=14
- 4*x-18*y=-14
- -14*x-1*y=3
- 1*x-6*y=-19
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Identical expressions
- one hundred and twenty-six (two , five -x)- one hundred and seventy-three (x- two)=81x- three hundred and thirty-four - two hundred and thirty-seven (x+ three)
- 126(2,5 minus x) minus 173(x minus 2) equally 81x minus 334 minus 237(x plus 3)
- one hundred and twenty minus six (two , five minus x) minus one hundred and seventy minus three (x minus two) equally 81x minus three hundred and thirty minus four minus two hundred and thirty minus seven (x plus three)
- 1262,5-x-173x-2=81x-334-237x+3
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Similar expressions
- 126(2,5-x)+173(x-2)=81x-334-237(x+3)
- 126(2,5-x)-173(x-2)=81x+334-237(x+3)
- 126(2,5+x)-173(x-2)=81x-334-237(x+3)
- 126(2,5-x)-173(x-2)=81x-334-237(x-3)
- 126(2,5-x)-173(x+2)=81x-334-237(x+3)
- 126(2,5-x)-173(x-2)=81x-334+237(x+3)
126(2,5-x)-173(x-2)=81x-334-237(x+3) equation
The teacher will be very surprised to see your correct solution 😉
The solution
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126*(5/2 - x) - 173*(x - 2) = 81*x - 334 - 237*(x + 3)
$$126 \left(\frac{5}{2} - x\right) - 173 \left(x - 2\right) = - 237 \left(x + 3\right) + \left(81 x - 334\right)$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$- 299 x = - 156 x - 1706$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-143\right) x = -1706$$
Divide both parts of the equation by -143
We get the answer: x = 1706/143
126*((5/2)-x)-173*(x-2) = 81*x-334-237*(x+3)
Expand brackets in the left part
126*5/2-x)-173*x+173*2 = 81*x-334-237*(x+3)
Expand brackets in the right part
126*5/2-x)-173*x+173*2 = 81*x-334-237*x-237*3
Looking for similar summands in the left part:
661 - 299*x = 81*x-334-237*x-237*3
Looking for similar summands in the right part:
661 - 299*x = -1045 - 156*x
Move free summands (without x)
from left part to right part, we given:
$$- 299 x = - 156 x - 1706$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-143\right) x = -1706$$
Divide both parts of the equation by -143
x = -1706 / (-143)
We get the answer: x = 1706/143
Sum and product of roots
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sum
1706 ---- 143
$$\frac{1706}{143}$$
=
1706 ---- 143
$$\frac{1706}{143}$$
product
1706 ---- 143
$$\frac{1706}{143}$$
=
1706 ---- 143
$$\frac{1706}{143}$$
1706/143