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Simplifying 2y2 + 30xy + -2y2 + 4y + -4x = 0 Reorder the terms: -4x + 30xy + 4y + 2y2 + -2y2 = 0 Combine like terms: 2y2 + -2y2 = 0 -4x + 30xy + 4y + 0 = 0 -4x + 30xy + 4y = 0 Solving -4x + 30xy + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -4x + 30xy + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -4x + 30xy + 0 = 0 + -4y -4x + 30xy = 0 + -4y Remove the zero: -4x + 30xy = -4y Combine like terms: -4y + 4y = 0 -4x + 30xy + 4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2x + 15xy + 2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2x + 15xy + 2y)' equal to zero and attempt to solve: Simplifying -2x + 15xy + 2y = 0 Solving -2x + 15xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -2x + 15xy + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -2x + 15xy + 0 = 0 + -2y -2x + 15xy = 0 + -2y Remove the zero: -2x + 15xy = -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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