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Simplifying 4x2 + 52x + 168 = 360 Reorder the terms: 168 + 52x + 4x2 = 360 Solving 168 + 52x + 4x2 = 360 Solving for variable 'x'. Reorder the terms: 168 + -360 + 52x + 4x2 = 360 + -360 Combine like terms: 168 + -360 = -192 -192 + 52x + 4x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -192 + 52x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-48 + 13x + x2) = 0 Factor a trinomial. 4((-16 + -1x)(3 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-16, 3}
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