7x^2-18x-40=2x-8

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Solution for 7x^2-18x-40=2x-8 equation: 


Simplifying
7x2 + -18x + -40 = 2x + -8

Reorder the terms:
-40 + -18x + 7x2 = 2x + -8

Reorder the terms:
-40 + -18x + 7x2 = -8 + 2x

Solving
-40 + -18x + 7x2 = -8 + 2x

Solving for variable 'x'.

Reorder the terms:
-40 + 8 + -18x + -2x + 7x2 = -8 + 2x + 8 + -2x

Combine like terms: -40 + 8 = -32
-32 + -18x + -2x + 7x2 = -8 + 2x + 8 + -2x

Combine like terms: -18x + -2x = -20x
-32 + -20x + 7x2 = -8 + 2x + 8 + -2x

Reorder the terms:
-32 + -20x + 7x2 = -8 + 8 + 2x + -2x

Combine like terms: -8 + 8 = 0
-32 + -20x + 7x2 = 0 + 2x + -2x
-32 + -20x + 7x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + -20x + 7x2 = 0

Factor a trinomial.
(-8 + -7x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1.142857143, 4}

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