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Simplifying 6x3 + -36x2 = 12x2 Reorder the terms: -36x2 + 6x3 = 12x2 Solving -36x2 + 6x3 = 12x2 Solving for variable 'x'. Reorder the terms: -36x2 + -12x2 + 6x3 = 12x2 + -12x2 Combine like terms: -36x2 + -12x2 = -48x2 -48x2 + 6x3 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -48x2 + 6x3 = 0 Factor out the Greatest Common Factor (GCF), '6x2'. 6x2(-8 + x) = 0 Ignore the factor 6.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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