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Simplifying y2 = 3y + 54 Reorder the terms: y2 = 54 + 3y Solving y2 = 54 + 3y Solving for variable 'y'. Reorder the terms: -54 + -3y + y2 = 54 + 3y + -54 + -3y Reorder the terms: -54 + -3y + y2 = 54 + -54 + 3y + -3y Combine like terms: 54 + -54 = 0 -54 + -3y + y2 = 0 + 3y + -3y -54 + -3y + y2 = 3y + -3y Combine like terms: 3y + -3y = 0 -54 + -3y + y2 = 0 Factor a trinomial. (-6 + -1y)(9 + -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 '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {-6, 9}
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