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Simplifying 2(5x + -5)(7y + -9) = 180 Reorder the terms: 2(-5 + 5x)(7y + -9) = 180 Reorder the terms: 2(-5 + 5x)(-9 + 7y) = 180 Multiply (-5 + 5x) * (-9 + 7y) 2(-5(-9 + 7y) + 5x * (-9 + 7y)) = 180 2((-9 * -5 + 7y * -5) + 5x * (-9 + 7y)) = 180 2((45 + -35y) + 5x * (-9 + 7y)) = 180 2(45 + -35y + (-9 * 5x + 7y * 5x)) = 180 2(45 + -35y + (-45x + 35xy)) = 180 Reorder the terms: 2(45 + -45x + 35xy + -35y) = 180 2(45 + -45x + 35xy + -35y) = 180 (45 * 2 + -45x * 2 + 35xy * 2 + -35y * 2) = 180 (90 + -90x + 70xy + -70y) = 180 Solving 90 + -90x + 70xy + -70y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90x + 70xy + -90 + -70y = 180 + -90 Reorder the terms: 90 + -90 + -90x + 70xy + -70y = 180 + -90 Combine like terms: 90 + -90 = 0 0 + -90x + 70xy + -70y = 180 + -90 -90x + 70xy + -70y = 180 + -90 Combine like terms: 180 + -90 = 90 -90x + 70xy + -70y = 90 Add '70y' to each side of the equation. -90x + 70xy + -70y + 70y = 90 + 70y Combine like terms: -70y + 70y = 0 -90x + 70xy + 0 = 90 + 70y -90x + 70xy = 90 + 70y Reorder the terms: -90 + -90x + 70xy + -70y = 90 + 70y + -90 + -70y Reorder the terms: -90 + -90x + 70xy + -70y = 90 + -90 + 70y + -70y Combine like terms: 90 + -90 = 0 -90 + -90x + 70xy + -70y = 0 + 70y + -70y -90 + -90x + 70xy + -70y = 70y + -70y Combine like terms: 70y + -70y = 0 -90 + -90x + 70xy + -70y = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-9 + -9x + 7xy + -7y) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-9 + -9x + 7xy + -7y)' equal to zero and attempt to solve: Simplifying -9 + -9x + 7xy + -7y = 0 Solving -9 + -9x + 7xy + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -9x + 7xy + 9 + -7y = 0 + 9 Reorder the terms: -9 + 9 + -9x + 7xy + -7y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -9x + 7xy + -7y = 0 + 9 -9x + 7xy + -7y = 0 + 9 Combine like terms: 0 + 9 = 9 -9x + 7xy + -7y = 9 Add '7y' to each side of the equation. -9x + 7xy + -7y + 7y = 9 + 7y Combine like terms: -7y + 7y = 0 -9x + 7xy + 0 = 9 + 7y -9x + 7xy = 9 + 7y 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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