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Simplifying 12x(x + -3) = -27 Reorder the terms: 12x(-3 + x) = -27 (-3 * 12x + x * 12x) = -27 (-36x + 12x2) = -27 Solving -36x + 12x2 = -27 Solving for variable 'x'. Reorder the terms: 27 + -36x + 12x2 = -27 + 27 Combine like terms: -27 + 27 = 0 27 + -36x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(9 + -12x + 4x2) = 0 Factor a trinomial. 3((3 + -2x)(3 + -2x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {1.5, 1.5}
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