2x^2-59x=-7x^2-6x-40

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Solution for 2x^2-59x=-7x^2-6x-40 equation: 


Simplifying
2x2 + -59x = -7x2 + -6x + -40

Reorder the terms:
-59x + 2x2 = -7x2 + -6x + -40

Reorder the terms:
-59x + 2x2 = -40 + -6x + -7x2

Solving
-59x + 2x2 = -40 + -6x + -7x2

Solving for variable 'x'.

Reorder the terms:
40 + -59x + 6x + 2x2 + 7x2 = -40 + -6x + -7x2 + 40 + 6x + 7x2

Combine like terms: -59x + 6x = -53x
40 + -53x + 2x2 + 7x2 = -40 + -6x + -7x2 + 40 + 6x + 7x2

Combine like terms: 2x2 + 7x2 = 9x2
40 + -53x + 9x2 = -40 + -6x + -7x2 + 40 + 6x + 7x2

Reorder the terms:
40 + -53x + 9x2 = -40 + 40 + -6x + 6x + -7x2 + 7x2

Combine like terms: -40 + 40 = 0
40 + -53x + 9x2 = 0 + -6x + 6x + -7x2 + 7x2
40 + -53x + 9x2 = -6x + 6x + -7x2 + 7x2

Combine like terms: -6x + 6x = 0
40 + -53x + 9x2 = 0 + -7x2 + 7x2
40 + -53x + 9x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
40 + -53x + 9x2 = 0

Factor a trinomial.
(8 + -9x)(5 + -1x) = 0


Subproblem 1
Set the factor '(8 + -9x)' equal to zero and attempt to solve:

Simplifying
8 + -9x = 0

Solving
8 + -9x = 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 + -9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = 0 + -8
-9x = 0 + -8

Combine like terms: 0 + -8 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0.8888888889, 5}

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