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Simplifying 3x2 + 2x = 2x2 + 11x Reorder the terms: 2x + 3x2 = 2x2 + 11x Reorder the terms: 2x + 3x2 = 11x + 2x2 Solving 2x + 3x2 = 11x + 2x2 Solving for variable 'x'. Reorder the terms: 2x + -11x + 3x2 + -2x2 = 11x + 2x2 + -11x + -2x2 Combine like terms: 2x + -11x = -9x -9x + 3x2 + -2x2 = 11x + 2x2 + -11x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 -9x + 1x2 = 11x + 2x2 + -11x + -2x2 Reorder the terms: -9x + 1x2 = 11x + -11x + 2x2 + -2x2 Combine like terms: 11x + -11x = 0 -9x + 1x2 = 0 + 2x2 + -2x2 -9x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -9x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + x) = 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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Solution
x = {0, 9}
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