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Simplifying 3x2 = 2x2 + -9x Reorder the terms: 3x2 = -9x + 2x2 Solving 3x2 = -9x + 2x2 Solving for variable 'x'. Reorder the terms: 9x + 3x2 + -2x2 = -9x + 2x2 + 9x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 9x + 1x2 = -9x + 2x2 + 9x + -2x2 Reorder the terms: 9x + 1x2 = -9x + 9x + 2x2 + -2x2 Combine like terms: -9x + 9x = 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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