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Simplifying (5x + -4)(2x + 9) = 0 Reorder the terms: (-4 + 5x)(2x + 9) = 0 Reorder the terms: (-4 + 5x)(9 + 2x) = 0 Multiply (-4 + 5x) * (9 + 2x) (-4(9 + 2x) + 5x * (9 + 2x)) = 0 ((9 * -4 + 2x * -4) + 5x * (9 + 2x)) = 0 ((-36 + -8x) + 5x * (9 + 2x)) = 0 (-36 + -8x + (9 * 5x + 2x * 5x)) = 0 (-36 + -8x + (45x + 10x2)) = 0 Combine like terms: -8x + 45x = 37x (-36 + 37x + 10x2) = 0 Solving -36 + 37x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -2x)(4 + -5x) = 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 '(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 = 0.8Solution
x = {-4.5, 0.8}
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