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Simplifying x3 + 12x2 + -64x2 = 0 Reorder the terms: 12x2 + -64x2 + x3 = 0 Combine like terms: 12x2 + -64x2 = -52x2 -52x2 + x3 = 0 Solving -52x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-52 + x) = 0Subproblem 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 '(-52 + x)' equal to zero and attempt to solve: Simplifying -52 + x = 0 Solving -52 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + x = 0 + 52 x = 0 + 52 Combine like terms: 0 + 52 = 52 x = 52 Simplifying x = 52Solution
x = {0, 52}
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