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Simplifying 2x4 + 16x3 + 32x3 = 0 Reorder the terms: 16x3 + 32x3 + 2x4 = 0 Combine like terms: 16x3 + 32x3 = 48x3 48x3 + 2x4 = 0 Solving 48x3 + 2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x3'. 2x3(24 + x) = 0 Ignore the factor 2.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 '(24 + x)' equal to zero and attempt to solve: Simplifying 24 + x = 0 Solving 24 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x = 0 + -24 x = 0 + -24 Combine like terms: 0 + -24 = -24 x = -24 Simplifying x = -24Solution
x = {-24}
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