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Simplifying (4x + -9)(x + -8) = 0 Reorder the terms: (-9 + 4x)(x + -8) = 0 Reorder the terms: (-9 + 4x)(-8 + x) = 0 Multiply (-9 + 4x) * (-8 + x) (-9(-8 + x) + 4x * (-8 + x)) = 0 ((-8 * -9 + x * -9) + 4x * (-8 + x)) = 0 ((72 + -9x) + 4x * (-8 + x)) = 0 (72 + -9x + (-8 * 4x + x * 4x)) = 0 (72 + -9x + (-32x + 4x2)) = 0 Combine like terms: -9x + -32x = -41x (72 + -41x + 4x2) = 0 Solving 72 + -41x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -4x)(8 + -1x) = 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {2.25, 8}
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