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Simplifying (5x + -20)(x + 9) = 0 Reorder the terms: (-20 + 5x)(x + 9) = 0 Reorder the terms: (-20 + 5x)(9 + x) = 0 Multiply (-20 + 5x) * (9 + x) (-20(9 + x) + 5x * (9 + x)) = 0 ((9 * -20 + x * -20) + 5x * (9 + x)) = 0 ((-180 + -20x) + 5x * (9 + x)) = 0 (-180 + -20x + (9 * 5x + x * 5x)) = 0 (-180 + -20x + (45x + 5x2)) = 0 Combine like terms: -20x + 45x = 25x (-180 + 25x + 5x2) = 0 Solving -180 + 25x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-36 + 5x + x2) = 0 Factor a trinomial. 5((-9 + -1x)(4 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 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 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-9, 4}
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