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Simplifying 5x(5x + -9)(9x + 5) = 0 Reorder the terms: 5x(-9 + 5x)(9x + 5) = 0 Reorder the terms: 5x(-9 + 5x)(5 + 9x) = 0 Multiply (-9 + 5x) * (5 + 9x) 5x(-9(5 + 9x) + 5x * (5 + 9x)) = 0 5x((5 * -9 + 9x * -9) + 5x * (5 + 9x)) = 0 5x((-45 + -81x) + 5x * (5 + 9x)) = 0 5x(-45 + -81x + (5 * 5x + 9x * 5x)) = 0 5x(-45 + -81x + (25x + 45x2)) = 0 Combine like terms: -81x + 25x = -56x 5x(-45 + -56x + 45x2) = 0 (-45 * 5x + -56x * 5x + 45x2 * 5x) = 0 (-225x + -280x2 + 225x3) = 0 Solving -225x + -280x2 + 225x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-45 + -56x + 45x2) = 0 Factor a trinomial. 5x((-5 + -9x)(9 + -5x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-5 + -9x)' equal to zero and attempt to solve: Simplifying -5 + -9x = 0 Solving -5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 0 + 5 -9x = 0 + 5 Combine like terms: 0 + 5 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556Subproblem 3
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, -0.5555555556, 1.8}
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