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Simplifying 4(x + 3)(6 + -1x) = 0 Reorder the terms: 4(3 + x)(6 + -1x) = 0 Multiply (3 + x) * (6 + -1x) 4(3(6 + -1x) + x(6 + -1x)) = 0 4((6 * 3 + -1x * 3) + x(6 + -1x)) = 0 4((18 + -3x) + x(6 + -1x)) = 0 4(18 + -3x + (6 * x + -1x * x)) = 0 4(18 + -3x + (6x + -1x2)) = 0 Combine like terms: -3x + 6x = 3x 4(18 + 3x + -1x2) = 0 (18 * 4 + 3x * 4 + -1x2 * 4) = 0 (72 + 12x + -4x2) = 0 Solving 72 + 12x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(18 + 3x + -1x2) = 0 Factor a trinomial. 4((6 + -1x)(3 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 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 = {6, -3}
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