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Simplifying (3x + -12) + -1(12x) = 3x2 + -12 Reorder the terms: (-12 + 3x) + -1(12x) = 3x2 + -12 Remove parenthesis around (-12 + 3x) -12 + 3x + -1(12x) = 3x2 + -12 Remove parenthesis around (12x) -12 + 3x + -1 * 12x = 3x2 + -12 Multiply -1 * 12 -12 + 3x + -12x = 3x2 + -12 Combine like terms: 3x + -12x = -9x -12 + -9x = 3x2 + -12 Reorder the terms: -12 + -9x = -12 + 3x2 Add '12' to each side of the equation. -12 + 12 + -9x = -12 + 12 + 3x2 Combine like terms: -12 + 12 = 0 0 + -9x = -12 + 12 + 3x2 -9x = -12 + 12 + 3x2 Combine like terms: -12 + 12 = 0 -9x = 0 + 3x2 -9x = 3x2 Solving -9x = 3x2 Solving for variable 'x'. Combine like terms: 3x2 + -3x2 = 0 -9x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(3 + x) = 0 Ignore the factor -3.Subproblem 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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