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Simplifying (4y + -6)(7 + -1y) = 0 Reorder the terms: (-6 + 4y)(7 + -1y) = 0 Multiply (-6 + 4y) * (7 + -1y) (-6(7 + -1y) + 4y * (7 + -1y)) = 0 ((7 * -6 + -1y * -6) + 4y * (7 + -1y)) = 0 ((-42 + 6y) + 4y * (7 + -1y)) = 0 (-42 + 6y + (7 * 4y + -1y * 4y)) = 0 (-42 + 6y + (28y + -4y2)) = 0 Combine like terms: 6y + 28y = 34y (-42 + 34y + -4y2) = 0 Solving -42 + 34y + -4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + 17y + -2y2) = 0 Factor a trinomial. 2((-7 + y)(3 + -2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + y)' equal to zero and attempt to solve: Simplifying -7 + y = 0 Solving -7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y = 0 + 7 y = 0 + 7 Combine like terms: 0 + 7 = 7 y = 7 Simplifying y = 7Subproblem 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 = {7, 1.5}
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