Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation cos(x)-1=0
-
Equation 3*x=0
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Equation x+5=7
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Equation 9*x^2=0
- Express {x} in terms of y where:
- 19*x+2*y=17
- 8*x-9*y=-1
- 13*x-1*y=-20
- 9*x+8*y=-4
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Identical expressions
- three *(three x+ one)- nine =3*(2x- seven)+ fourteen
- 3 multiply by (3x plus 1) minus 9 equally 3 multiply by (2x minus 7) plus 14
- three multiply by (three x plus one) minus nine equally 3 multiply by (2x minus seven) plus fourteen
- 3(3x+1)-9=3(2x-7)+14
- 33x+1-9=32x-7+14
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Similar expressions
- 3*(3x+1)+9=3*(2x-7)+14
- 3*(3x-1)-9=3*(2x-7)+14
- 3*(3x+1)-9=3*(2x-7)-14
- 3*(3x+1)-9=3*(2x+7)+14
3*(3x+1)-9=3*(2x-7)+14 equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
3*(3*x + 1) - 9 = 3*(2*x - 7) + 14
$$3 \left(3 x + 1\right) - 9 = 3 \left(2 x - 7\right) + 14$$
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:
$$9 x = 6 x - 1$$
Move the summands with the unknown x
from the right part to the left part:
$$3 x = -1$$
Divide both parts of the equation by 3
We get the answer: x = -1/3
3*(3*x+1)-9 = 3*(2*x-7)+14
Expand brackets in the left part
3*3*x+3*1-9 = 3*(2*x-7)+14
Expand brackets in the right part
3*3*x+3*1-9 = 3*2*x-3*7+14
Looking for similar summands in the left part:
-6 + 9*x = 3*2*x-3*7+14
Looking for similar summands in the right part:
-6 + 9*x = -7 + 6*x
Move free summands (without x)
from left part to right part, we given:
$$9 x = 6 x - 1$$
Move the summands with the unknown x
from the right part to the left part:
$$3 x = -1$$
Divide both parts of the equation by 3
x = -1 / (3)
We get the answer: x = -1/3
Sum and product of roots
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sum
-1/3
$$- \frac{1}{3}$$
=
-1/3
$$- \frac{1}{3}$$
product
-1/3
$$- \frac{1}{3}$$
=
-1/3
$$- \frac{1}{3}$$
-1/3