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Simplifying y2 = 210 + -1y Solving y2 = 210 + -1y Solving for variable 'y'. Reorder the terms: -210 + y + y2 = 210 + -1y + -210 + y Reorder the terms: -210 + y + y2 = 210 + -210 + -1y + y Combine like terms: 210 + -210 = 0 -210 + y + y2 = 0 + -1y + y -210 + y + y2 = -1y + y Combine like terms: -1y + y = 0 -210 + y + y2 = 0 Factor a trinomial. (-15 + -1y)(14 + -1y) = 0Subproblem 1
Set the factor '(-15 + -1y)' equal to zero and attempt to solve: Simplifying -15 + -1y = 0 Solving -15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 0 + 15 -1y = 0 + 15 Combine like terms: 0 + 15 = 15 -1y = 15 Divide each side by '-1'. y = -15 Simplifying y = -15Subproblem 2
Set the factor '(14 + -1y)' equal to zero and attempt to solve: Simplifying 14 + -1y = 0 Solving 14 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1y = 0 + -14 -1y = 0 + -14 Combine like terms: 0 + -14 = -14 -1y = -14 Divide each side by '-1'. y = 14 Simplifying y = 14Solution
y = {-15, 14}
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