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Simplifying (4y + -6)(9 + -1y) = 0 Reorder the terms: (-6 + 4y)(9 + -1y) = 0 Multiply (-6 + 4y) * (9 + -1y) (-6(9 + -1y) + 4y * (9 + -1y)) = 0 ((9 * -6 + -1y * -6) + 4y * (9 + -1y)) = 0 ((-54 + 6y) + 4y * (9 + -1y)) = 0 (-54 + 6y + (9 * 4y + -1y * 4y)) = 0 (-54 + 6y + (36y + -4y2)) = 0 Combine like terms: 6y + 36y = 42y (-54 + 42y + -4y2) = 0 Solving -54 + 42y + -4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + 21y + -2y2) = 0 Factor a trinomial. 2((-9 + y)(3 + -2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + y)' equal to zero and attempt to solve: Simplifying -9 + y = 0 Solving -9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + y = 0 + 9 y = 0 + 9 Combine like terms: 0 + 9 = 9 y = 9 Simplifying y = 9Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {9, 1.5}
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