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Simplifying x = 14x + -1x2 Solving x = 14x + -1x2 Solving for variable 'x'. Combine like terms: x + -14x = -13x -13x + x2 = 14x + -1x2 + -14x + x2 Reorder the terms: -13x + x2 = 14x + -14x + -1x2 + x2 Combine like terms: 14x + -14x = 0 -13x + x2 = 0 + -1x2 + x2 -13x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -13x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 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 '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Simplifying x = 13Solution
x = {0, 13}
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