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Simplifying 160 = 4x2 + 156x Reorder the terms: 160 = 156x + 4x2 Solving 160 = 156x + 4x2 Solving for variable 'x'. Reorder the terms: 160 + -156x + -4x2 = 156x + -156x + 4x2 + -4x2 Combine like terms: 156x + -156x = 0 160 + -156x + -4x2 = 0 + 4x2 + -4x2 160 + -156x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 160 + -156x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(40 + -39x + -1x2) = 0 Factor a trinomial. 4((1 + -1x)(40 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(40 + x)' equal to zero and attempt to solve: Simplifying 40 + x = 0 Solving 40 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + x = 0 + -40 x = 0 + -40 Combine like terms: 0 + -40 = -40 x = -40 Simplifying x = -40Solution
x = {1, -40}
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