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Simplifying x2 + 12x + 35 = 35 Reorder the terms: 35 + 12x + x2 = 35 Add '-35' to each side of the equation. 35 + 12x + -35 + x2 = 35 + -35 Reorder the terms: 35 + -35 + 12x + x2 = 35 + -35 Combine like terms: 35 + -35 = 0 0 + 12x + x2 = 35 + -35 12x + x2 = 35 + -35 Combine like terms: 35 + -35 = 0 12x + x2 = 0 Solving 12x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(12 + 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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {0, -12}
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