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Simplifying 3x2(5x3 + 12x) = 0 Reorder the terms: 3x2(12x + 5x3) = 0 (12x * 3x2 + 5x3 * 3x2) = 0 (36x3 + 15x5) = 0 Solving 36x3 + 15x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x3'. 3x3(12 + 5x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(12 + 5x2)' equal to zero and attempt to solve: Simplifying 12 + 5x2 = 0 Solving 12 + 5x2 = 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 + 5x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5x2 = 0 + -12 5x2 = 0 + -12 Combine like terms: 0 + -12 = -12 5x2 = -12 Divide each side by '5'. x2 = -2.4 Simplifying x2 = -2.4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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