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Simplifying 9x(x + -15)(x + -15) = 0 Reorder the terms: 9x(-15 + x)(x + -15) = 0 Reorder the terms: 9x(-15 + x)(-15 + x) = 0 Multiply (-15 + x) * (-15 + x) 9x(-15(-15 + x) + x(-15 + x)) = 0 9x((-15 * -15 + x * -15) + x(-15 + x)) = 0 9x((225 + -15x) + x(-15 + x)) = 0 9x(225 + -15x + (-15 * x + x * x)) = 0 9x(225 + -15x + (-15x + x2)) = 0 Combine like terms: -15x + -15x = -30x 9x(225 + -30x + x2) = 0 (225 * 9x + -30x * 9x + x2 * 9x) = 0 (2025x + -270x2 + 9x3) = 0 Solving 2025x + -270x2 + 9x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x'. 9x(225 + -30x + x2) = 0 Factor a trinomial. 9x((15 + -1x)(15 + -1x)) = 0 Ignore the factor 9.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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 3
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {0, 15, 15}
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