# 2x^2+8x=90

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## Solution for 2x^2+8x=90 equation:

Simplifying
2x2 + 8x = 90

Reorder the terms:
8x + 2x2 = 90

Solving
8x + 2x2 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + 8x + 2x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + 4x + x2) = 0

Factor a trinomial.
2((-9 + -1x)(5 + -1x)) = 0

Ignore the factor 2.
Subproblem 1Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9
Subproblem 2Set 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 = 5Solutionx = {-9, 5}`