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 1

Set 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 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 = {-9, 5}

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