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Simplifying -16x2 + 1000x = 0 Reorder the terms: 1000x + -16x2 = 0 Solving 1000x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(125 + -2x) = 0 Ignore the factor 8.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 '(125 + -2x)' equal to zero and attempt to solve: Simplifying 125 + -2x = 0 Solving 125 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -2x = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -2x = 0 + -125 -2x = 0 + -125 Combine like terms: 0 + -125 = -125 -2x = -125 Divide each side by '-2'. x = 62.5 Simplifying x = 62.5Solution
x = {0, 62.5}
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