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Simplifying 24x5 = 16x4 Solving 24x5 = 16x4 Solving for variable 'x'. Reorder the terms: -16x4 + 24x5 = 16x4 + -16x4 Combine like terms: 16x4 + -16x4 = 0 -16x4 + 24x5 = 0 Factor out the Greatest Common Factor (GCF), '8x4'. 8x4(-2 + 3x) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0.6666666667}
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