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Simplifying 80 = -16x2 + 160x + -256 Reorder the terms: 80 = -256 + 160x + -16x2 Solving 80 = -256 + 160x + -16x2 Solving for variable 'x'. Combine like terms: 80 + 256 = 336 336 + -160x + 16x2 = -256 + 160x + -16x2 + 256 + -160x + 16x2 Reorder the terms: 336 + -160x + 16x2 = -256 + 256 + 160x + -160x + -16x2 + 16x2 Combine like terms: -256 + 256 = 0 336 + -160x + 16x2 = 0 + 160x + -160x + -16x2 + 16x2 336 + -160x + 16x2 = 160x + -160x + -16x2 + 16x2 Combine like terms: 160x + -160x = 0 336 + -160x + 16x2 = 0 + -16x2 + 16x2 336 + -160x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 336 + -160x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(21 + -10x + x2) = 0 Factor a trinomial. 16((3 + -1x)(7 + -1x)) = 0 Ignore the factor 16.Subproblem 1
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 = 3Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {3, 7}
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