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Simplifying 0 = -5y * y + 10xy + 50x Multiply y * y 0 = -5y2 + 10xy + 50x Reorder the terms: 0 = 50x + 10xy + -5y2 Solving 0 = 50x + 10xy + -5y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 0 + -50x = 50x + 10xy + -50x + -5y2 Remove the zero: -50x = 50x + 10xy + -50x + -5y2 Reorder the terms: -50x = 50x + -50x + 10xy + -5y2 Combine like terms: 50x + -50x = 0 -50x = 0 + 10xy + -5y2 -50x = 10xy + -5y2 Add '-10xy' to each side of the equation. -50x + -10xy = 10xy + -10xy + -5y2 Combine like terms: 10xy + -10xy = 0 -50x + -10xy = 0 + -5y2 -50x + -10xy = -5y2 Combine like terms: -5y2 + 5y2 = 0 -50x + -10xy + 5y2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-10x + -2xy + y2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-10x + -2xy + y2)' equal to zero and attempt to solve: Simplifying -10x + -2xy + y2 = 0 Solving -10x + -2xy + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. -10x + -2xy + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 -10x + -2xy + 0 = 0 + -1y2 -10x + -2xy = 0 + -1y2 Remove the zero: -10x + -2xy = -1y2 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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