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Simplifying -54x2 + 16xy = 0 Reorder the terms: 16xy + -54x2 = 0 Solving 16xy + -54x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(8y + -27x) = 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 '(8y + -27x)' equal to zero and attempt to solve: Simplifying 8y + -27x = 0 Reorder the terms: -27x + 8y = 0 Solving -27x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -27x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 -27x + 0 = 0 + -8y -27x = 0 + -8y Remove the zero: -27x = -8y Divide each side by '-27'. x = 0.2962962963y Simplifying x = 0.2962962963ySolution
x = {0, 0.2962962963y}
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