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Simplifying y2 + -8y + 16 = 36 Reorder the terms: 16 + -8y + y2 = 36 Solving 16 + -8y + y2 = 36 Solving for variable 'y'. Reorder the terms: 16 + -36 + -8y + y2 = 36 + -36 Combine like terms: 16 + -36 = -20 -20 + -8y + y2 = 36 + -36 Combine like terms: 36 + -36 = 0 -20 + -8y + y2 = 0 Factor a trinomial. (-2 + -1y)(10 + -1y) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(10 + -1y)' equal to zero and attempt to solve: Simplifying 10 + -1y = 0 Solving 10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 0 + -10 -1y = 0 + -10 Combine like terms: 0 + -10 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10Solution
y = {-2, 10}
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