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Simplifying x2 + 12x = 7x Reorder the terms: 12x + x2 = 7x Solving 12x + x2 = 7x Solving for variable 'x'. Reorder the terms: 12x + -7x + x2 = 7x + -7x Combine like terms: 12x + -7x = 5x 5x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 5x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0, -5}
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