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