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Simplifying (50a + 3)(3y + -9) = 0 Reorder the terms: (3 + 50a)(3y + -9) = 0 Reorder the terms: (3 + 50a)(-9 + 3y) = 0 Multiply (3 + 50a) * (-9 + 3y) (3(-9 + 3y) + 50a * (-9 + 3y)) = 0 ((-9 * 3 + 3y * 3) + 50a * (-9 + 3y)) = 0 ((-27 + 9y) + 50a * (-9 + 3y)) = 0 (-27 + 9y + (-9 * 50a + 3y * 50a)) = 0 (-27 + 9y + (-450a + 150ay)) = 0 Reorder the terms: (-27 + -450a + 150ay + 9y) = 0 (-27 + -450a + 150ay + 9y) = 0 Solving -27 + -450a + 150ay + 9y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27' to each side of the equation. -27 + -450a + 150ay + 27 + 9y = 0 + 27 Reorder the terms: -27 + 27 + -450a + 150ay + 9y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -450a + 150ay + 9y = 0 + 27 -450a + 150ay + 9y = 0 + 27 Combine like terms: 0 + 27 = 27 -450a + 150ay + 9y = 27 Add '-9y' to each side of the equation. -450a + 150ay + 9y + -9y = 27 + -9y Combine like terms: 9y + -9y = 0 -450a + 150ay + 0 = 27 + -9y -450a + 150ay = 27 + -9y Reorder the terms: -27 + -450a + 150ay + 9y = 27 + -9y + -27 + 9y Reorder the terms: -27 + -450a + 150ay + 9y = 27 + -27 + -9y + 9y Combine like terms: 27 + -27 = 0 -27 + -450a + 150ay + 9y = 0 + -9y + 9y -27 + -450a + 150ay + 9y = -9y + 9y Combine like terms: -9y + 9y = 0 -27 + -450a + 150ay + 9y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-9 + -150a + 50ay + 3y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-9 + -150a + 50ay + 3y)' equal to zero and attempt to solve: Simplifying -9 + -150a + 50ay + 3y = 0 Solving -9 + -150a + 50ay + 3y = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -150a + 50ay + 9 + 3y = 0 + 9 Reorder the terms: -9 + 9 + -150a + 50ay + 3y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -150a + 50ay + 3y = 0 + 9 -150a + 50ay + 3y = 0 + 9 Combine like terms: 0 + 9 = 9 -150a + 50ay + 3y = 9 Add '-3y' to each side of the equation. -150a + 50ay + 3y + -3y = 9 + -3y Combine like terms: 3y + -3y = 0 -150a + 50ay + 0 = 9 + -3y -150a + 50ay = 9 + -3y 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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