3x^2+2x-40=2x^2+8

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Solution for 3x^2+2x-40=2x^2+8 equation: 


Simplifying
3x2 + 2x + -40 = 2x2 + 8

Reorder the terms:
-40 + 2x + 3x2 = 2x2 + 8

Reorder the terms:
-40 + 2x + 3x2 = 8 + 2x2

Solving
-40 + 2x + 3x2 = 8 + 2x2

Solving for variable 'x'.

Reorder the terms:
-40 + -8 + 2x + 3x2 + -2x2 = 8 + 2x2 + -8 + -2x2

Combine like terms: -40 + -8 = -48
-48 + 2x + 3x2 + -2x2 = 8 + 2x2 + -8 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-48 + 2x + 1x2 = 8 + 2x2 + -8 + -2x2

Reorder the terms:
-48 + 2x + 1x2 = 8 + -8 + 2x2 + -2x2

Combine like terms: 8 + -8 = 0
-48 + 2x + 1x2 = 0 + 2x2 + -2x2
-48 + 2x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-48 + 2x + 1x2 = 0

Factor a trinomial.
(-8 + -1x)(6 + -1x) = 0


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

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-8, 6}

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