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Simplifying (4x + 9)(8x + -9) = 0 Reorder the terms: (9 + 4x)(8x + -9) = 0 Reorder the terms: (9 + 4x)(-9 + 8x) = 0 Multiply (9 + 4x) * (-9 + 8x) (9(-9 + 8x) + 4x * (-9 + 8x)) = 0 ((-9 * 9 + 8x * 9) + 4x * (-9 + 8x)) = 0 ((-81 + 72x) + 4x * (-9 + 8x)) = 0 (-81 + 72x + (-9 * 4x + 8x * 4x)) = 0 (-81 + 72x + (-36x + 32x2)) = 0 Combine like terms: 72x + -36x = 36x (-81 + 36x + 32x2) = 0 Solving -81 + 36x + 32x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -4x)(9 + -8x) = 0Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 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 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 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 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Solution
x = {-2.25, 1.125}
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