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Simplifying x(x + -9)(x + -7) = 0 Reorder the terms: x(-9 + x)(x + -7) = 0 Reorder the terms: x(-9 + x)(-7 + x) = 0 Multiply (-9 + x) * (-7 + x) x(-9(-7 + x) + x(-7 + x)) = 0 x((-7 * -9 + x * -9) + x(-7 + x)) = 0 x((63 + -9x) + x(-7 + x)) = 0 x(63 + -9x + (-7 * x + x * x)) = 0 x(63 + -9x + (-7x + x2)) = 0 Combine like terms: -9x + -7x = -16x x(63 + -16x + x2) = 0 (63 * x + -16x * x + x2 * x) = 0 (63x + -16x2 + x3) = 0 Solving 63x + -16x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(63 + -16x + x2) = 0 Factor a trinomial. x((7 + -1x)(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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 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, 7, 9}
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