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Simplifying 0 = 48X + -12X3 Solving 0 = 48X + -12X3 Solving for variable 'X'. Remove the zero: -48X + 12X3 = 48X + -12X3 + -48X + 12X3 Reorder the terms: -48X + 12X3 = 48X + -48X + -12X3 + 12X3 Combine like terms: 48X + -48X = 0 -48X + 12X3 = 0 + -12X3 + 12X3 -48X + 12X3 = -12X3 + 12X3 Combine like terms: -12X3 + 12X3 = 0 -48X + 12X3 = 0 Factor out the Greatest Common Factor (GCF), '12X'. 12X(-4 + X2) = 0 Factor a difference between two squares. 12X((2 + X)(-2 + X)) = 0 Ignore the factor 12.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 '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Simplifying X = -2Subproblem 3
Set the factor '(-2 + X)' equal to zero and attempt to solve: Simplifying -2 + X = 0 Solving -2 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + X = 0 + 2 X = 0 + 2 Combine like terms: 0 + 2 = 2 X = 2 Simplifying X = 2Solution
X = {0, -2, 2}
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