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Simplifying (56 + -1y) * y = 663 Reorder the terms for easier multiplication: y(56 + -1y) = 663 (56 * y + -1y * y) = 663 (56y + -1y2) = 663 Solving 56y + -1y2 = 663 Solving for variable 'y'. Reorder the terms: -663 + 56y + -1y2 = 663 + -663 Combine like terms: 663 + -663 = 0 -663 + 56y + -1y2 = 0 Factor a trinomial. (-39 + y)(17 + -1y) = 0Subproblem 1
Set the factor '(-39 + y)' equal to zero and attempt to solve: Simplifying -39 + y = 0 Solving -39 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + y = 0 + 39 Combine like terms: -39 + 39 = 0 0 + y = 0 + 39 y = 0 + 39 Combine like terms: 0 + 39 = 39 y = 39 Simplifying y = 39Subproblem 2
Set the factor '(17 + -1y)' equal to zero and attempt to solve: Simplifying 17 + -1y = 0 Solving 17 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1y = 0 + -17 -1y = 0 + -17 Combine like terms: 0 + -17 = -17 -1y = -17 Divide each side by '-1'. y = 17 Simplifying y = 17Solution
y = {39, 17}
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