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Simplifying (5x + -9)(4x + 3) = 0 Reorder the terms: (-9 + 5x)(4x + 3) = 0 Reorder the terms: (-9 + 5x)(3 + 4x) = 0 Multiply (-9 + 5x) * (3 + 4x) (-9(3 + 4x) + 5x * (3 + 4x)) = 0 ((3 * -9 + 4x * -9) + 5x * (3 + 4x)) = 0 ((-27 + -36x) + 5x * (3 + 4x)) = 0 (-27 + -36x + (3 * 5x + 4x * 5x)) = 0 (-27 + -36x + (15x + 20x2)) = 0 Combine like terms: -36x + 15x = -21x (-27 + -21x + 20x2) = 0 Solving -27 + -21x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x)(9 + -5x) = 0Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 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 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {-0.75, 1.8}
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