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Simplifying 5x + -45 + xy + -9y = 5(x + -9)(5 + y) Reorder the terms: -45 + 5x + xy + -9y = 5(x + -9)(5 + y) Reorder the terms: -45 + 5x + xy + -9y = 5(-9 + x)(5 + y) Multiply (-9 + x) * (5 + y) -45 + 5x + xy + -9y = 5(-9(5 + y) + x(5 + y)) -45 + 5x + xy + -9y = 5((5 * -9 + y * -9) + x(5 + y)) -45 + 5x + xy + -9y = 5((-45 + -9y) + x(5 + y)) -45 + 5x + xy + -9y = 5(-45 + -9y + (5 * x + y * x)) -45 + 5x + xy + -9y = 5(-45 + -9y + (5x + xy)) Reorder the terms: -45 + 5x + xy + -9y = 5(-45 + 5x + xy + -9y) -45 + 5x + xy + -9y = 5(-45 + 5x + xy + -9y) -45 + 5x + xy + -9y = (-45 * 5 + 5x * 5 + xy * 5 + -9y * 5) -45 + 5x + xy + -9y = (-225 + 25x + 5xy + -45y) Solving -45 + 5x + xy + -9y = -225 + 25x + 5xy + -45y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -45 + 5x + xy + -25x + -9y = -225 + 25x + 5xy + -25x + -45y Reorder the terms: -45 + 5x + -25x + xy + -9y = -225 + 25x + 5xy + -25x + -45y Combine like terms: 5x + -25x = -20x -45 + -20x + xy + -9y = -225 + 25x + 5xy + -25x + -45y Reorder the terms: -45 + -20x + xy + -9y = -225 + 25x + -25x + 5xy + -45y Combine like terms: 25x + -25x = 0 -45 + -20x + xy + -9y = -225 + 0 + 5xy + -45y -45 + -20x + xy + -9y = -225 + 5xy + -45y Add '-5xy' to each side of the equation. -45 + -20x + xy + -5xy + -9y = -225 + 5xy + -5xy + -45y Combine like terms: xy + -5xy = -4xy -45 + -20x + -4xy + -9y = -225 + 5xy + -5xy + -45y Combine like terms: 5xy + -5xy = 0 -45 + -20x + -4xy + -9y = -225 + 0 + -45y -45 + -20x + -4xy + -9y = -225 + -45y Add '45' to each side of the equation. -45 + -20x + -4xy + 45 + -9y = -225 + 45 + -45y Reorder the terms: -45 + 45 + -20x + -4xy + -9y = -225 + 45 + -45y Combine like terms: -45 + 45 = 0 0 + -20x + -4xy + -9y = -225 + 45 + -45y -20x + -4xy + -9y = -225 + 45 + -45y Combine like terms: -225 + 45 = -180 -20x + -4xy + -9y = -180 + -45y Add '9y' to each side of the equation. -20x + -4xy + -9y + 9y = -180 + -45y + 9y Combine like terms: -9y + 9y = 0 -20x + -4xy + 0 = -180 + -45y + 9y -20x + -4xy = -180 + -45y + 9y Combine like terms: -45y + 9y = -36y -20x + -4xy = -180 + -36y Reorder the terms: 180 + -20x + -4xy + 36y = -180 + -36y + 180 + 36y Reorder the terms: 180 + -20x + -4xy + 36y = -180 + 180 + -36y + 36y Combine like terms: -180 + 180 = 0 180 + -20x + -4xy + 36y = 0 + -36y + 36y 180 + -20x + -4xy + 36y = -36y + 36y Combine like terms: -36y + 36y = 0 180 + -20x + -4xy + 36y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(45 + -5x + -1xy + 9y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(45 + -5x + -1xy + 9y)' equal to zero and attempt to solve: Simplifying 45 + -5x + -1xy + 9y = 0 Solving 45 + -5x + -1xy + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -5x + -1xy + -45 + 9y = 0 + -45 Reorder the terms: 45 + -45 + -5x + -1xy + 9y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -5x + -1xy + 9y = 0 + -45 -5x + -1xy + 9y = 0 + -45 Combine like terms: 0 + -45 = -45 -5x + -1xy + 9y = -45 Add '-9y' to each side of the equation. -5x + -1xy + 9y + -9y = -45 + -9y Combine like terms: 9y + -9y = 0 -5x + -1xy + 0 = -45 + -9y -5x + -1xy = -45 + -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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