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Simplifying (4x + 5)(8x + -9) = 0 Reorder the terms: (5 + 4x)(8x + -9) = 0 Reorder the terms: (5 + 4x)(-9 + 8x) = 0 Multiply (5 + 4x) * (-9 + 8x) (5(-9 + 8x) + 4x * (-9 + 8x)) = 0 ((-9 * 5 + 8x * 5) + 4x * (-9 + 8x)) = 0 ((-45 + 40x) + 4x * (-9 + 8x)) = 0 (-45 + 40x + (-9 * 4x + 8x * 4x)) = 0 (-45 + 40x + (-36x + 32x2)) = 0 Combine like terms: 40x + -36x = 4x (-45 + 4x + 32x2) = 0 Solving -45 + 4x + 32x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x)(9 + -8x) = 0Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25Subproblem 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 = {-1.25, 1.125}
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