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Simplifying 0 = 10x2y + -80xy + 160y Reorder the terms: 0 = -80xy + 10x2y + 160y Solving 0 = -80xy + 10x2y + 160y Solving for variable 'x'. Remove the zero: 80xy + -10x2y + -160y = -80xy + 10x2y + 160y + 80xy + -10x2y + -160y Reorder the terms: 80xy + -10x2y + -160y = -80xy + 80xy + 10x2y + -10x2y + 160y + -160y Combine like terms: -80xy + 80xy = 0 80xy + -10x2y + -160y = 0 + 10x2y + -10x2y + 160y + -160y 80xy + -10x2y + -160y = 10x2y + -10x2y + 160y + -160y Combine like terms: 10x2y + -10x2y = 0 80xy + -10x2y + -160y = 0 + 160y + -160y 80xy + -10x2y + -160y = 160y + -160y Combine like terms: 160y + -160y = 0 80xy + -10x2y + -160y = 0 Factor out the Greatest Common Factor (GCF), '10y'. 10y(8x + -1x2 + -16) = 0 Factor a trinomial. 10y((-1x + 4)(x + -4)) = 0 Ignore the factor 10.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 '(-1x + 4)' equal to zero and attempt to solve: Simplifying -1x + 4 = 0 Reorder the terms: 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 3
Set the factor '(x + -4)' equal to zero and attempt to solve: Simplifying x + -4 = 0 Reorder the terms: -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Solution
x = {4, 4}
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