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Simplifying (4x + -6)(-2x + -6) = 0 Reorder the terms: (-6 + 4x)(-2x + -6) = 0 Reorder the terms: (-6 + 4x)(-6 + -2x) = 0 Multiply (-6 + 4x) * (-6 + -2x) (-6(-6 + -2x) + 4x * (-6 + -2x)) = 0 ((-6 * -6 + -2x * -6) + 4x * (-6 + -2x)) = 0 ((36 + 12x) + 4x * (-6 + -2x)) = 0 (36 + 12x + (-6 * 4x + -2x * 4x)) = 0 (36 + 12x + (-24x + -8x2)) = 0 Combine like terms: 12x + -24x = -12x (36 + -12x + -8x2) = 0 Solving 36 + -12x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -3x + -2x2) = 0 Factor a trinomial. 4((3 + -2x)(3 + x)) = 0 Ignore the factor 4.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 + 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 = {1.5, -3}
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