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Simplifying x = -16x2 + 12x Reorder the terms: x = 12x + -16x2 Solving x = 12x + -16x2 Solving for variable 'x'. Combine like terms: x + -12x = -11x -11x + 16x2 = 12x + -16x2 + -12x + 16x2 Reorder the terms: -11x + 16x2 = 12x + -12x + -16x2 + 16x2 Combine like terms: 12x + -12x = 0 -11x + 16x2 = 0 + -16x2 + 16x2 -11x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -11x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 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 '(-11 + 16x)' equal to zero and attempt to solve: Simplifying -11 + 16x = 0 Solving -11 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 16x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 16x = 0 + 11 16x = 0 + 11 Combine like terms: 0 + 11 = 11 16x = 11 Divide each side by '16'. x = 0.6875 Simplifying x = 0.6875Solution
x = {0, 0.6875}
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