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Simplifying 2(x + -9)(y + -26) * y = 0 Reorder the terms: 2(-9 + x)(y + -26) * y = 0 Reorder the terms: 2(-9 + x)(-26 + y) * y = 0 Reorder the terms for easier multiplication: 2y(-9 + x)(-26 + y) = 0 Multiply (-9 + x) * (-26 + y) 2y(-9(-26 + y) + x(-26 + y)) = 0 2y((-26 * -9 + y * -9) + x(-26 + y)) = 0 2y((234 + -9y) + x(-26 + y)) = 0 2y(234 + -9y + (-26 * x + y * x)) = 0 2y(234 + -9y + (-26x + xy)) = 0 Reorder the terms: 2y(234 + -26x + xy + -9y) = 0 2y(234 + -26x + xy + -9y) = 0 (234 * 2y + -26x * 2y + xy * 2y + -9y * 2y) = 0 Reorder the terms: (-52xy + 2xy2 + 468y + -18y2) = 0 (-52xy + 2xy2 + 468y + -18y2) = 0 Solving -52xy + 2xy2 + 468y + -18y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-468y' to each side of the equation. -52xy + 2xy2 + 468y + -468y + -18y2 = 0 + -468y Combine like terms: 468y + -468y = 0 -52xy + 2xy2 + 0 + -18y2 = 0 + -468y -52xy + 2xy2 + -18y2 = 0 + -468y Remove the zero: -52xy + 2xy2 + -18y2 = -468y Add '18y2' to each side of the equation. -52xy + 2xy2 + -18y2 + 18y2 = -468y + 18y2 Combine like terms: -18y2 + 18y2 = 0 -52xy + 2xy2 + 0 = -468y + 18y2 -52xy + 2xy2 = -468y + 18y2 Reorder the terms: -52xy + 2xy2 + 468y + -18y2 = -468y + 468y + 18y2 + -18y2 Combine like terms: -468y + 468y = 0 -52xy + 2xy2 + 468y + -18y2 = 0 + 18y2 + -18y2 -52xy + 2xy2 + 468y + -18y2 = 18y2 + -18y2 Combine like terms: 18y2 + -18y2 = 0 -52xy + 2xy2 + 468y + -18y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(-26x + xy + 234 + -9y) = 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 '(-26x + xy + 234 + -9y)' equal to zero and attempt to solve: Simplifying -26x + xy + 234 + -9y = 0 Reorder the terms: 234 + -26x + xy + -9y = 0 Solving 234 + -26x + xy + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-234' to each side of the equation. 234 + -26x + xy + -234 + -9y = 0 + -234 Reorder the terms: 234 + -234 + -26x + xy + -9y = 0 + -234 Combine like terms: 234 + -234 = 0 0 + -26x + xy + -9y = 0 + -234 -26x + xy + -9y = 0 + -234 Combine like terms: 0 + -234 = -234 -26x + xy + -9y = -234 Add '9y' to each side of the equation. -26x + xy + -9y + 9y = -234 + 9y Combine like terms: -9y + 9y = 0 -26x + xy + 0 = -234 + 9y -26x + xy = -234 + 9y 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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