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Simplifying y2 = 30y + -225 Reorder the terms: y2 = -225 + 30y Solving y2 = -225 + 30y Solving for variable 'y'. Reorder the terms: 225 + -30y + y2 = -225 + 30y + 225 + -30y Reorder the terms: 225 + -30y + y2 = -225 + 225 + 30y + -30y Combine like terms: -225 + 225 = 0 225 + -30y + y2 = 0 + 30y + -30y 225 + -30y + y2 = 30y + -30y Combine like terms: 30y + -30y = 0 225 + -30y + y2 = 0 Factor a trinomial. (15 + -1y)(15 + -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 '(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 = 15Solution
y = {15, 15}
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