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Simplifying 32x5 + 108x2y3 = 0 Reorder the terms: 108x2y3 + 32x5 = 0 Solving 108x2y3 + 32x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(27y3 + 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 '(27y3 + 8x3)' equal to zero and attempt to solve: Simplifying 27y3 + 8x3 = 0 Reorder the terms: 8x3 + 27y3 = 0 Solving 8x3 + 27y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27y3' to each side of the equation. 8x3 + 27y3 + -27y3 = 0 + -27y3 Combine like terms: 27y3 + -27y3 = 0 8x3 + 0 = 0 + -27y3 8x3 = 0 + -27y3 Remove the zero: 8x3 = -27y3 Divide each side by '8'. x3 = -3.375y3 Simplifying x3 = -3.375y3 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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