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Simplifying 0 = -16x2 + 75x Reorder the terms: 0 = 75x + -16x2 Solving 0 = 75x + -16x2 Solving for variable 'x'. Remove the zero: -75x + 16x2 = 75x + -16x2 + -75x + 16x2 Reorder the terms: -75x + 16x2 = 75x + -75x + -16x2 + 16x2 Combine like terms: 75x + -75x = 0 -75x + 16x2 = 0 + -16x2 + 16x2 -75x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -75x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-75 + 16x) = 0Subproblem 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 '(-75 + 16x)' equal to zero and attempt to solve: Simplifying -75 + 16x = 0 Solving -75 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 16x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 16x = 0 + 75 16x = 0 + 75 Combine like terms: 0 + 75 = 75 16x = 75 Divide each side by '16'. x = 4.6875 Simplifying x = 4.6875Solution
x = {0, 4.6875}
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