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Simplifying (y2 + 2) + -4(8 + y) = 15 Reorder the terms: (2 + y2) + -4(8 + y) = 15 Remove parenthesis around (2 + y2) 2 + y2 + -4(8 + y) = 15 2 + y2 + (8 * -4 + y * -4) = 15 2 + y2 + (-32 + -4y) = 15 Reorder the terms: 2 + -32 + -4y + y2 = 15 Combine like terms: 2 + -32 = -30 -30 + -4y + y2 = 15 Solving -30 + -4y + y2 = 15 Solving for variable 'y'. Reorder the terms: -30 + -15 + -4y + y2 = 15 + -15 Combine like terms: -30 + -15 = -45 -45 + -4y + y2 = 15 + -15 Combine like terms: 15 + -15 = 0 -45 + -4y + y2 = 0 Factor a trinomial. (-5 + -1y)(9 + -1y) = 0Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5Subproblem 2
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {-5, 9}
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