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Simplifying 11x = 8x(5 + -2x) 11x = (5 * 8x + -2x * 8x) 11x = (40x + -16x2) Solving 11x = 40x + -16x2 Solving for variable 'x'. Combine like terms: 11x + -40x = -29x -29x + 16x2 = 40x + -16x2 + -40x + 16x2 Reorder the terms: -29x + 16x2 = 40x + -40x + -16x2 + 16x2 Combine like terms: 40x + -40x = 0 -29x + 16x2 = 0 + -16x2 + 16x2 -29x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -29x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-29 + 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 '(-29 + 16x)' equal to zero and attempt to solve: Simplifying -29 + 16x = 0 Solving -29 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 16x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 16x = 0 + 29 16x = 0 + 29 Combine like terms: 0 + 29 = 29 16x = 29 Divide each side by '16'. x = 1.8125 Simplifying x = 1.8125Solution
x = {0, 1.8125}
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