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Simplifying x(5x + 1)(x + -9) = 0 Reorder the terms: x(1 + 5x)(x + -9) = 0 Reorder the terms: x(1 + 5x)(-9 + x) = 0 Multiply (1 + 5x) * (-9 + x) x(1(-9 + x) + 5x * (-9 + x)) = 0 x((-9 * 1 + x * 1) + 5x * (-9 + x)) = 0 x((-9 + 1x) + 5x * (-9 + x)) = 0 x(-9 + 1x + (-9 * 5x + x * 5x)) = 0 x(-9 + 1x + (-45x + 5x2)) = 0 Combine like terms: 1x + -45x = -44x x(-9 + -44x + 5x2) = 0 (-9 * x + -44x * x + 5x2 * x) = 0 (-9x + -44x2 + 5x3) = 0 Solving -9x + -44x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + -44x + 5x2) = 0 Factor a trinomial. x((-1 + -5x)(9 + -1x)) = 0Subproblem 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 '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 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 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 3
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 = 9Solution
x = {0, -0.2, 9}
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