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Simplifying 17x(x + 9)(x + -9) = 0 Reorder the terms: 17x(9 + x)(x + -9) = 0 Reorder the terms: 17x(9 + x)(-9 + x) = 0 Multiply (9 + x) * (-9 + x) 17x(9(-9 + x) + x(-9 + x)) = 0 17x((-9 * 9 + x * 9) + x(-9 + x)) = 0 17x((-81 + 9x) + x(-9 + x)) = 0 17x(-81 + 9x + (-9 * x + x * x)) = 0 17x(-81 + 9x + (-9x + x2)) = 0 Combine like terms: 9x + -9x = 0 17x(-81 + 0 + x2) = 0 17x(-81 + x2) = 0 (-81 * 17x + x2 * 17x) = 0 (-1377x + 17x3) = 0 Solving -1377x + 17x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '17x'. 17x(-81 + x2) = 0 Factor a difference between two squares. 17x((9 + x)(-9 + x)) = 0 Ignore the factor 17.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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 3
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Solution
x = {0, -9, 9}
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