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Simplifying (4x + -6)(x + -9) = 0 Reorder the terms: (-6 + 4x)(x + -9) = 0 Reorder the terms: (-6 + 4x)(-9 + x) = 0 Multiply (-6 + 4x) * (-9 + x) (-6(-9 + x) + 4x * (-9 + x)) = 0 ((-9 * -6 + x * -6) + 4x * (-9 + x)) = 0 ((54 + -6x) + 4x * (-9 + x)) = 0 (54 + -6x + (-9 * 4x + x * 4x)) = 0 (54 + -6x + (-36x + 4x2)) = 0 Combine like terms: -6x + -36x = -42x (54 + -42x + 4x2) = 0 Solving 54 + -42x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(27 + -21x + 2x2) = 0 Factor a trinomial. 2((3 + -2x)(9 + -1x)) = 0 Ignore the factor 2.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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {1.5, 9}
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