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Simplifying 2x2y + -20xy + 50y = 0 Reorder the terms: -20xy + 2x2y + 50y = 0 Solving -20xy + 2x2y + 50y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-10x + x2 + 25) = 0 Factor a trinomial. 2y((x + -5)(x + -5)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(x + -5)' equal to zero and attempt to solve: Simplifying x + -5 = 0 Reorder the terms: -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 3
Set the factor '(x + -5)' equal to zero and attempt to solve: Simplifying x + -5 = 0 Reorder the terms: -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Solution
x = {5, 5}
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