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Simplifying (-8x3) + 72x = 0 Reorder the terms: 72x + (-8x3) = 0 Solving 72x + (-8x3) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(9 + (-1x2)) = 0 Factor a difference between two squares. 8x((3 + x)(3 + (-1x))) = 0 Ignore the factor 8.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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 3
Set the factor '(3 + (-1x))' equal to zero and attempt to solve: Simplifying 3 + (-1x) = 0 Solving 3 + (-1x) = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + (-1x) = 0 + -3 Combine like terms: 3 + -3 = 0 0 + (-1x) = 0 + -3 (-1x) = 0 + -3 Combine like terms: 0 + -3 = -3 (-1x) = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, -3, 3}
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