Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 4*x^4-5*x^2+1=0
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Equation 5*x^2+7*x+2=0
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Equation x^3=4x
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Equation (x-4)^2-25=0
- Express {x} in terms of y where:
- -2*x+4*y=3
- -14*x-13*y=11
- -1*x-5*y=-1
- -12*x-6*y=-3
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Identical expressions
- six x-(two x+ five)=2(3x-6)
- 6x minus (2x plus 5) equally 2(3x minus 6)
- six x minus (two x plus five) equally 2(3x minus 6)
- 6x-2x+5=23x-6
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Similar expressions
- 6x-(2x+5)=2(3x+6)
- 6x+(2x+5)=2(3x-6)
- 6x-(2x-5)=2(3x-6)
6x-(2x+5)=2(3x-6) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
6*x + -2*x - 5 = 2*(3*x - 6)
$$6 x + \left(- 2 x - 5\right) = 2 \left(3 x - 6\right)$$
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:
Move free summands (without x)
from left part to right part, we given:
$$4 x = 6 x - 7$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-2\right) x = -7$$
Divide both parts of the equation by -2
We get the answer: x = 7/2
6*x-(2*x+5) = 2*(3*x-6)
Expand brackets in the left part
6*x-2*x-5 = 2*(3*x-6)
Expand brackets in the right part
6*x-2*x-5 = 2*3*x-2*6
Looking for similar summands in the left part:
-5 + 4*x = 2*3*x-2*6
Move free summands (without x)
from left part to right part, we given:
$$4 x = 6 x - 7$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-2\right) x = -7$$
Divide both parts of the equation by -2
x = -7 / (-2)
We get the answer: x = 7/2
Sum and product of roots
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sum
7/2
$$\frac{7}{2}$$
=
7/2
$$\frac{7}{2}$$
product
7/2
$$\frac{7}{2}$$
=
7/2
$$\frac{7}{2}$$
7/2
The graph