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Simplifying 0 = -16x2 + 100x Reorder the terms: 0 = 100x + -16x2 Solving 0 = 100x + -16x2 Solving for variable 'x'. Remove the zero: -100x + 16x2 = 100x + -16x2 + -100x + 16x2 Reorder the terms: -100x + 16x2 = 100x + -100x + -16x2 + 16x2 Combine like terms: 100x + -100x = 0 -100x + 16x2 = 0 + -16x2 + 16x2 -100x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -100x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-25 + 4x) = 0 Ignore the factor 4.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 '(-25 + 4x)' equal to zero and attempt to solve: Simplifying -25 + 4x = 0 Solving -25 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 4x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4x = 0 + 25 4x = 0 + 25 Combine like terms: 0 + 25 = 25 4x = 25 Divide each side by '4'. x = 6.25 Simplifying x = 6.25Solution
x = {0, 6.25}
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