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Simplifying (y + -4)(2y + -6) = 0 Reorder the terms: (-4 + y)(2y + -6) = 0 Reorder the terms: (-4 + y)(-6 + 2y) = 0 Multiply (-4 + y) * (-6 + 2y) (-4(-6 + 2y) + y(-6 + 2y)) = 0 ((-6 * -4 + 2y * -4) + y(-6 + 2y)) = 0 ((24 + -8y) + y(-6 + 2y)) = 0 (24 + -8y + (-6 * y + 2y * y)) = 0 (24 + -8y + (-6y + 2y2)) = 0 Combine like terms: -8y + -6y = -14y (24 + -14y + 2y2) = 0 Solving 24 + -14y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -7y + y2) = 0 Factor a trinomial. 2((3 + -1y)(4 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {3, 4}
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