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Simplifying (2x + 9)(8x + -3) = 0 Reorder the terms: (9 + 2x)(8x + -3) = 0 Reorder the terms: (9 + 2x)(-3 + 8x) = 0 Multiply (9 + 2x) * (-3 + 8x) (9(-3 + 8x) + 2x * (-3 + 8x)) = 0 ((-3 * 9 + 8x * 9) + 2x * (-3 + 8x)) = 0 ((-27 + 72x) + 2x * (-3 + 8x)) = 0 (-27 + 72x + (-3 * 2x + 8x * 2x)) = 0 (-27 + 72x + (-6x + 16x2)) = 0 Combine like terms: 72x + -6x = 66x (-27 + 66x + 16x2) = 0 Solving -27 + 66x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -2x)(3 + -8x) = 0Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 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 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Solution
x = {-4.5, 0.375}
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