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Simplifying 0 = 16x2 + -80x Reorder the terms: 0 = -80x + 16x2 Solving 0 = -80x + 16x2 Solving for variable 'x'. Remove the zero: 80x + -16x2 = -80x + 16x2 + 80x + -16x2 Reorder the terms: 80x + -16x2 = -80x + 80x + 16x2 + -16x2 Combine like terms: -80x + 80x = 0 80x + -16x2 = 0 + 16x2 + -16x2 80x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 80x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '16x'. 16x(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0, 5}
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