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Simplifying -6x3(4x3 + 5) = 0 Reorder the terms: -6x3(5 + 4x3) = 0 (5 * -6x3 + 4x3 * -6x3) = 0 (-30x3 + -24x6) = 0 Solving -30x3 + -24x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-6x3'. -6x3(5 + 4x3) = 0 Ignore the factor -6.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 '(5 + 4x3)' equal to zero and attempt to solve: Simplifying 5 + 4x3 = 0 Solving 5 + 4x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x3 = 0 + -5 4x3 = 0 + -5 Combine like terms: 0 + -5 = -5 4x3 = -5 Divide each side by '4'. x3 = -1.25 Simplifying x3 = -1.25 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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