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Simplifying x(4x + -12) + -27 = -27 Reorder the terms: x(-12 + 4x) + -27 = -27 (-12 * x + 4x * x) + -27 = -27 (-12x + 4x2) + -27 = -27 Reorder the terms: -27 + -12x + 4x2 = -27 Add '27' to each side of the equation. -27 + -12x + 27 + 4x2 = -27 + 27 Reorder the terms: -27 + 27 + -12x + 4x2 = -27 + 27 Combine like terms: -27 + 27 = 0 0 + -12x + 4x2 = -27 + 27 -12x + 4x2 = -27 + 27 Combine like terms: -27 + 27 = 0 -12x + 4x2 = 0 Solving -12x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-3 + x) = 0 Ignore the factor 4.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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