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Simplifying 0 = -16x2 + 13x Reorder the terms: 0 = 13x + -16x2 Solving 0 = 13x + -16x2 Solving for variable 'x'. Remove the zero: -13x + 16x2 = 13x + -16x2 + -13x + 16x2 Reorder the terms: -13x + 16x2 = 13x + -13x + -16x2 + 16x2 Combine like terms: 13x + -13x = 0 -13x + 16x2 = 0 + -16x2 + 16x2 -13x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -13x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 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 '(-13 + 16x)' equal to zero and attempt to solve: Simplifying -13 + 16x = 0 Solving -13 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 16x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 16x = 0 + 13 16x = 0 + 13 Combine like terms: 0 + 13 = 13 16x = 13 Divide each side by '16'. x = 0.8125 Simplifying x = 0.8125Solution
x = {0, 0.8125}
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