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Simplifying y2 = 4y + 60 Reorder the terms: y2 = 60 + 4y Solving y2 = 60 + 4y Solving for variable 'y'. Reorder the terms: -60 + -4y + y2 = 60 + 4y + -60 + -4y Reorder the terms: -60 + -4y + y2 = 60 + -60 + 4y + -4y Combine like terms: 60 + -60 = 0 -60 + -4y + y2 = 0 + 4y + -4y -60 + -4y + y2 = 4y + -4y Combine like terms: 4y + -4y = 0 -60 + -4y + y2 = 0 Factor a trinomial. (-6 + -1y)(10 + -1y) = 0Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6Subproblem 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 = {-6, 10}
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