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Simplifying 32x5 = 108x2 Solving 32x5 = 108x2 Solving for variable 'x'. Reorder the terms: -108x2 + 32x5 = 108x2 + -108x2 Combine like terms: 108x2 + -108x2 = 0 -108x2 + 32x5 = 0 Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-27 + 8x3) = 0 Ignore the factor 4.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 '(-27 + 8x3)' equal to zero and attempt to solve: Simplifying -27 + 8x3 = 0 Solving -27 + 8x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 8x3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 8x3 = 0 + 27 8x3 = 0 + 27 Combine like terms: 0 + 27 = 27 8x3 = 27 Divide each side by '8'. x3 = 3.375 Simplifying x3 = 3.375 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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