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Simplifying x2 + 26x = 12x Reorder the terms: 26x + x2 = 12x Solving 26x + x2 = 12x Solving for variable 'x'. Reorder the terms: 26x + -12x + x2 = 12x + -12x Combine like terms: 26x + -12x = 14x 14x + x2 = 12x + -12x Combine like terms: 12x + -12x = 0 14x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(14 + 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 '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {0, -14}
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