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Simplifying 30x + -1x2 + -2xy = 0 Reorder the terms: 30x + -2xy + -1x2 = 0 Solving 30x + -2xy + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(30 + -2y + -1x) = 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 '(30 + -2y + -1x)' equal to zero and attempt to solve: Simplifying 30 + -2y + -1x = 0 Reorder the terms: 30 + -1x + -2y = 0 Solving 30 + -1x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -1x + -30 + -2y = 0 + -30 Reorder the terms: 30 + -30 + -1x + -2y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x + -2y = 0 + -30 -1x + -2y = 0 + -30 Combine like terms: 0 + -30 = -30 -1x + -2y = -30 Add '2y' to each side of the equation. -1x + -2y + 2y = -30 + 2y Combine like terms: -2y + 2y = 0 -1x + 0 = -30 + 2y -1x = -30 + 2y Divide each side by '-1'. x = 30 + -2y Simplifying x = 30 + -2ySolution
x = {0, 30 + -2y}
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