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Simplifying 30xy2 + x2y + -6x = 0 Reorder the terms: -6x + 30xy2 + x2y = 0 Solving -6x + 30xy2 + x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + 30y2 + xy) = 0Subproblem 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 '(-6 + 30y2 + xy)' equal to zero and attempt to solve: Simplifying -6 + 30y2 + xy = 0 Reorder the terms: -6 + xy + 30y2 = 0 Solving -6 + xy + 30y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + xy + 6 + 30y2 = 0 + 6 Reorder the terms: -6 + 6 + xy + 30y2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + xy + 30y2 = 0 + 6 xy + 30y2 = 0 + 6 Combine like terms: 0 + 6 = 6 xy + 30y2 = 6 Add '-30y2' to each side of the equation. xy + 30y2 + -30y2 = 6 + -30y2 Combine like terms: 30y2 + -30y2 = 0 xy + 0 = 6 + -30y2 xy = 6 + -30y2 Divide each side by 'y'. x = 6y-1 + -30y Simplifying x = 6y-1 + -30ySolution
x = {0, 6y-1 + -30y}
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