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Simplifying (8x + -9)(5x + 4) = 0 Reorder the terms: (-9 + 8x)(5x + 4) = 0 Reorder the terms: (-9 + 8x)(4 + 5x) = 0 Multiply (-9 + 8x) * (4 + 5x) (-9(4 + 5x) + 8x * (4 + 5x)) = 0 ((4 * -9 + 5x * -9) + 8x * (4 + 5x)) = 0 ((-36 + -45x) + 8x * (4 + 5x)) = 0 (-36 + -45x + (4 * 8x + 5x * 8x)) = 0 (-36 + -45x + (32x + 40x2)) = 0 Combine like terms: -45x + 32x = -13x (-36 + -13x + 40x2) = 0 Solving -36 + -13x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -5x)(9 + -8x) = 0Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 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 = {-0.8, 1.125}
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