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Simplifying 0 = -16x2 + 160x Reorder the terms: 0 = 160x + -16x2 Solving 0 = 160x + -16x2 Solving for variable 'x'. Remove the zero: -160x + 16x2 = 160x + -16x2 + -160x + 16x2 Reorder the terms: -160x + 16x2 = 160x + -160x + -16x2 + 16x2 Combine like terms: 160x + -160x = 0 -160x + 16x2 = 0 + -16x2 + 16x2 -160x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -160x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '16x'. 16x(-10 + x) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 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 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Solution
x = {0, 10}
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