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Simplifying 90 = 4x2 + -2x Reorder the terms: 90 = -2x + 4x2 Solving 90 = -2x + 4x2 Solving for variable 'x'. Reorder the terms: 90 + 2x + -4x2 = -2x + 2x + 4x2 + -4x2 Combine like terms: -2x + 2x = 0 90 + 2x + -4x2 = 0 + 4x2 + -4x2 90 + 2x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 90 + 2x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(45 + x + -2x2) = 0 Factor a trinomial. 2((5 + -1x)(9 + 2x)) = 0 Ignore the factor 2.Subproblem 1
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 = 5Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 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 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {5, -4.5}
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