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Simplifying (16x2 + 24x)(-1x + 9) = 0 Reorder the terms: (24x + 16x2)(-1x + 9) = 0 Reorder the terms: (24x + 16x2)(9 + -1x) = 0 Multiply (24x + 16x2) * (9 + -1x) (24x * (9 + -1x) + 16x2 * (9 + -1x)) = 0 ((9 * 24x + -1x * 24x) + 16x2 * (9 + -1x)) = 0 ((216x + -24x2) + 16x2 * (9 + -1x)) = 0 (216x + -24x2 + (9 * 16x2 + -1x * 16x2)) = 0 (216x + -24x2 + (144x2 + -16x3)) = 0 Combine like terms: -24x2 + 144x2 = 120x2 (216x + 120x2 + -16x3) = 0 Solving 216x + 120x2 + -16x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(27 + 15x + -2x2) = 0 Factor a trinomial. 8x((9 + -1x)(3 + 2x)) = 0 Ignore the factor 8.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 '(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 = 9Subproblem 3
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 = {0, 9, -1.5}
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