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Simplifying 6y2 = 6y + 252 Reorder the terms: 6y2 = 252 + 6y Solving 6y2 = 252 + 6y Solving for variable 'y'. Reorder the terms: -252 + -6y + 6y2 = 252 + 6y + -252 + -6y Reorder the terms: -252 + -6y + 6y2 = 252 + -252 + 6y + -6y Combine like terms: 252 + -252 = 0 -252 + -6y + 6y2 = 0 + 6y + -6y -252 + -6y + 6y2 = 6y + -6y Combine like terms: 6y + -6y = 0 -252 + -6y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-42 + -1y + y2) = 0 Factor a trinomial. 6((-6 + -1y)(7 + -1y)) = 0 Ignore the factor 6.Subproblem 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 '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {-6, 7}
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