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Simplifying 9x2 = x(33 + 11x) 9x2 = (33 * x + 11x * x) 9x2 = (33x + 11x2) Solving 9x2 = 33x + 11x2 Solving for variable 'x'. Reorder the terms: -33x + 9x2 + -11x2 = 33x + 11x2 + -33x + -11x2 Combine like terms: 9x2 + -11x2 = -2x2 -33x + -2x2 = 33x + 11x2 + -33x + -11x2 Reorder the terms: -33x + -2x2 = 33x + -33x + 11x2 + -11x2 Combine like terms: 33x + -33x = 0 -33x + -2x2 = 0 + 11x2 + -11x2 -33x + -2x2 = 11x2 + -11x2 Combine like terms: 11x2 + -11x2 = 0 -33x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(33 + 2x) = 0 Ignore the factor -1.Subproblem 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 '(33 + 2x)' equal to zero and attempt to solve: Simplifying 33 + 2x = 0 Solving 33 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 2x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 2x = 0 + -33 2x = 0 + -33 Combine like terms: 0 + -33 = -33 2x = -33 Divide each side by '2'. x = -16.5 Simplifying x = -16.5Solution
x = {0, -16.5}
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