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Simplifying 54x4 + 16y3x = 0 Reorder the terms: 16xy3 + 54x4 = 0 Solving 16xy3 + 54x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(8y3 + 27x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(8y3 + 27x3)' equal to zero and attempt to solve: Simplifying 8y3 + 27x3 = 0 Reorder the terms: 27x3 + 8y3 = 0 Solving 27x3 + 8y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y3' to each side of the equation. 27x3 + 8y3 + -8y3 = 0 + -8y3 Combine like terms: 8y3 + -8y3 = 0 27x3 + 0 = 0 + -8y3 27x3 = 0 + -8y3 Remove the zero: 27x3 = -8y3 Divide each side by '27'. x3 = -0.2962962963y3 Simplifying x3 = -0.2962962963y3 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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