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Simplifying y * y = 10y + 144 Multiply y * y y2 = 10y + 144 Reorder the terms: y2 = 144 + 10y Solving y2 = 144 + 10y Solving for variable 'y'. Reorder the terms: -144 + -10y + y2 = 144 + 10y + -144 + -10y Reorder the terms: -144 + -10y + y2 = 144 + -144 + 10y + -10y Combine like terms: 144 + -144 = 0 -144 + -10y + y2 = 0 + 10y + -10y -144 + -10y + y2 = 10y + -10y Combine like terms: 10y + -10y = 0 -144 + -10y + y2 = 0 Factor a trinomial. (-8 + -1y)(18 + -1y) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(18 + -1y)' equal to zero and attempt to solve: Simplifying 18 + -1y = 0 Solving 18 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1y = 0 + -18 -1y = 0 + -18 Combine like terms: 0 + -18 = -18 -1y = -18 Divide each side by '-1'. y = 18 Simplifying y = 18Solution
y = {-8, 18}
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