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Simplifying y2 = 7y + -10 Reorder the terms: y2 = -10 + 7y Solving y2 = -10 + 7y Solving for variable 'y'. Reorder the terms: 10 + -7y + y2 = -10 + 7y + 10 + -7y Reorder the terms: 10 + -7y + y2 = -10 + 10 + 7y + -7y Combine like terms: -10 + 10 = 0 10 + -7y + y2 = 0 + 7y + -7y 10 + -7y + y2 = 7y + -7y Combine like terms: 7y + -7y = 0 10 + -7y + y2 = 0 Factor a trinomial. (2 + -1y)(5 + -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 '(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 = {2, 5}
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