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