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Simplifying y2 + -4y + 4 = 36 Reorder the terms: 4 + -4y + y2 = 36 Solving 4 + -4y + y2 = 36 Solving for variable 'y'. Reorder the terms: 4 + -36 + -4y + y2 = 36 + -36 Combine like terms: 4 + -36 = -32 -32 + -4y + y2 = 36 + -36 Combine like terms: 36 + -36 = 0 -32 + -4y + y2 = 0 Factor a trinomial. (-4 + -1y)(8 + -1y) = 0Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 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 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Solution
y = {-4, 8}
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