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Simplifying 0 = -16x2 + 8x + 360 Reorder the terms: 0 = 360 + 8x + -16x2 Solving 0 = 360 + 8x + -16x2 Solving for variable 'x'. Combine like terms: 0 + -360 = -360 -360 + -8x + 16x2 = 360 + 8x + -16x2 + -360 + -8x + 16x2 Reorder the terms: -360 + -8x + 16x2 = 360 + -360 + 8x + -8x + -16x2 + 16x2 Combine like terms: 360 + -360 = 0 -360 + -8x + 16x2 = 0 + 8x + -8x + -16x2 + 16x2 -360 + -8x + 16x2 = 8x + -8x + -16x2 + 16x2 Combine like terms: 8x + -8x = 0 -360 + -8x + 16x2 = 0 + -16x2 + 16x2 -360 + -8x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -360 + -8x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-45 + -1x + 2x2) = 0 Factor a trinomial. 8((-9 + -2x)(5 + -1x)) = 0 Ignore the factor 8.Subproblem 1
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 = -4.5Subproblem 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 = 5Solution
x = {-4.5, 5}
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