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Simplifying 0 = -16x2 + 39x Reorder the terms: 0 = 39x + -16x2 Solving 0 = 39x + -16x2 Solving for variable 'x'. Remove the zero: -39x + 16x2 = 39x + -16x2 + -39x + 16x2 Reorder the terms: -39x + 16x2 = 39x + -39x + -16x2 + 16x2 Combine like terms: 39x + -39x = 0 -39x + 16x2 = 0 + -16x2 + 16x2 -39x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -39x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-39 + 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 '(-39 + 16x)' equal to zero and attempt to solve: Simplifying -39 + 16x = 0 Solving -39 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 16x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 16x = 0 + 39 16x = 0 + 39 Combine like terms: 0 + 39 = 39 16x = 39 Divide each side by '16'. x = 2.4375 Simplifying x = 2.4375Solution
x = {0, 2.4375}
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