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Simplifying 0 = x3 + 8x2 Reorder the terms: 0 = 8x2 + x3 Solving 0 = 8x2 + x3 Solving for variable 'x'. Remove the zero: -8x2 + -1x3 = 8x2 + x3 + -8x2 + -1x3 Reorder the terms: -8x2 + -1x3 = 8x2 + -8x2 + x3 + -1x3 Combine like terms: 8x2 + -8x2 = 0 -8x2 + -1x3 = 0 + x3 + -1x3 -8x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -8x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), '-1x2'. -1x2(8 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {0, -8}
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