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Simplifying (y + 2)(y + 2) + -49 = 0 Reorder the terms: (2 + y)(y + 2) + -49 = 0 Reorder the terms: (2 + y)(2 + y) + -49 = 0 Multiply (2 + y) * (2 + y) (2(2 + y) + y(2 + y)) + -49 = 0 ((2 * 2 + y * 2) + y(2 + y)) + -49 = 0 ((4 + 2y) + y(2 + y)) + -49 = 0 (4 + 2y + (2 * y + y * y)) + -49 = 0 (4 + 2y + (2y + y2)) + -49 = 0 Combine like terms: 2y + 2y = 4y (4 + 4y + y2) + -49 = 0 Reorder the terms: 4 + -49 + 4y + y2 = 0 Combine like terms: 4 + -49 = -45 -45 + 4y + y2 = 0 Solving -45 + 4y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -1y)(5 + -1y) = 0Subproblem 1
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 = -9Subproblem 2
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 = 5Solution
y = {-9, 5}
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