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Simplifying 90 = 2x(4x + -11) Reorder the terms: 90 = 2x(-11 + 4x) 90 = (-11 * 2x + 4x * 2x) 90 = (-22x + 8x2) Solving 90 = -22x + 8x2 Solving for variable 'x'. Reorder the terms: 90 + 22x + -8x2 = -22x + 22x + 8x2 + -8x2 Combine like terms: -22x + 22x = 0 90 + 22x + -8x2 = 0 + 8x2 + -8x2 90 + 22x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 90 + 22x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(45 + 11x + -4x2) = 0 Factor a trinomial. 2((5 + -1x)(9 + 4x)) = 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 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 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 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25Solution
x = {5, -2.25}
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