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Simplifying 0 = -16x2 + 128x + 320 Reorder the terms: 0 = 320 + 128x + -16x2 Solving 0 = 320 + 128x + -16x2 Solving for variable 'x'. Combine like terms: 0 + -320 = -320 -320 + -128x + 16x2 = 320 + 128x + -16x2 + -320 + -128x + 16x2 Reorder the terms: -320 + -128x + 16x2 = 320 + -320 + 128x + -128x + -16x2 + 16x2 Combine like terms: 320 + -320 = 0 -320 + -128x + 16x2 = 0 + 128x + -128x + -16x2 + 16x2 -320 + -128x + 16x2 = 128x + -128x + -16x2 + 16x2 Combine like terms: 128x + -128x = 0 -320 + -128x + 16x2 = 0 + -16x2 + 16x2 -320 + -128x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -320 + -128x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-20 + -8x + x2) = 0 Factor a trinomial. 16((-2 + -1x)(10 + -1x)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-2, 10}
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