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