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Simplifying 5x(x + -2) = 9x2 + -11x Reorder the terms: 5x(-2 + x) = 9x2 + -11x (-2 * 5x + x * 5x) = 9x2 + -11x (-10x + 5x2) = 9x2 + -11x Reorder the terms: -10x + 5x2 = -11x + 9x2 Solving -10x + 5x2 = -11x + 9x2 Solving for variable 'x'. Reorder the terms: -10x + 11x + 5x2 + -9x2 = -11x + 9x2 + 11x + -9x2 Combine like terms: -10x + 11x = 1x 1x + 5x2 + -9x2 = -11x + 9x2 + 11x + -9x2 Combine like terms: 5x2 + -9x2 = -4x2 1x + -4x2 = -11x + 9x2 + 11x + -9x2 Reorder the terms: 1x + -4x2 = -11x + 11x + 9x2 + -9x2 Combine like terms: -11x + 11x = 0 1x + -4x2 = 0 + 9x2 + -9x2 1x + -4x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 1x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -4x) = 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 '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {0, 0.25}
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