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Simplifying 12x3 = 20x3 + 48x Reorder the terms: 12x3 = 48x + 20x3 Solving 12x3 = 48x + 20x3 Solving for variable 'x'. Reorder the terms: -48x + 12x3 + -20x3 = 48x + 20x3 + -48x + -20x3 Combine like terms: 12x3 + -20x3 = -8x3 -48x + -8x3 = 48x + 20x3 + -48x + -20x3 Reorder the terms: -48x + -8x3 = 48x + -48x + 20x3 + -20x3 Combine like terms: 48x + -48x = 0 -48x + -8x3 = 0 + 20x3 + -20x3 -48x + -8x3 = 20x3 + -20x3 Combine like terms: 20x3 + -20x3 = 0 -48x + -8x3 = 0 Factor out the Greatest Common Factor (GCF), '-8x'. -8x(6 + x2) = 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 '(6 + x2)' equal to zero and attempt to solve: Simplifying 6 + x2 = 0 Solving 6 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x2 = 0 + -6 x2 = 0 + -6 Combine like terms: 0 + -6 = -6 x2 = -6 Simplifying x2 = -6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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