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Simplifying 3x2(4x2 + -3x2 + 12) = 0 Reorder the terms: 3x2(12 + 4x2 + -3x2) = 0 Combine like terms: 4x2 + -3x2 = 1x2 3x2(12 + 1x2) = 0 (12 * 3x2 + 1x2 * 3x2) = 0 (36x2 + 3x4) = 0 Solving 36x2 + 3x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(12 + x2) = 0 Ignore the factor 3.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 '(12 + x2)' equal to zero and attempt to solve: Simplifying 12 + x2 = 0 Solving 12 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x2 = 0 + -12 x2 = 0 + -12 Combine like terms: 0 + -12 = -12 x2 = -12 Simplifying x2 = -12 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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