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Simplifying (5x + -9)(4x + 4) = 0 Reorder the terms: (-9 + 5x)(4x + 4) = 0 Reorder the terms: (-9 + 5x)(4 + 4x) = 0 Multiply (-9 + 5x) * (4 + 4x) (-9(4 + 4x) + 5x * (4 + 4x)) = 0 ((4 * -9 + 4x * -9) + 5x * (4 + 4x)) = 0 ((-36 + -36x) + 5x * (4 + 4x)) = 0 (-36 + -36x + (4 * 5x + 4x * 5x)) = 0 (-36 + -36x + (20x + 20x2)) = 0 Combine like terms: -36x + 20x = -16x (-36 + -16x + 20x2) = 0 Solving -36 + -16x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + -4x + 5x2) = 0 Factor a trinomial. 4((-1 + -1x)(9 + -5x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 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 = {-1, 1.8}
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