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Simplifying 2x2 + -2x = 3x2 + -9x Reorder the terms: -2x + 2x2 = 3x2 + -9x Reorder the terms: -2x + 2x2 = -9x + 3x2 Solving -2x + 2x2 = -9x + 3x2 Solving for variable 'x'. Reorder the terms: -2x + 9x + 2x2 + -3x2 = -9x + 3x2 + 9x + -3x2 Combine like terms: -2x + 9x = 7x 7x + 2x2 + -3x2 = -9x + 3x2 + 9x + -3x2 Combine like terms: 2x2 + -3x2 = -1x2 7x + -1x2 = -9x + 3x2 + 9x + -3x2 Reorder the terms: 7x + -1x2 = -9x + 9x + 3x2 + -3x2 Combine like terms: -9x + 9x = 0 7x + -1x2 = 0 + 3x2 + -3x2 7x + -1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 7x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + -1x) = 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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0, 7}
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