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Simplifying 9y2 + -12y + 4 = 169 Reorder the terms: 4 + -12y + 9y2 = 169 Solving 4 + -12y + 9y2 = 169 Solving for variable 'y'. Reorder the terms: 4 + -169 + -12y + 9y2 = 169 + -169 Combine like terms: 4 + -169 = -165 -165 + -12y + 9y2 = 169 + -169 Combine like terms: 169 + -169 = 0 -165 + -12y + 9y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-55 + -4y + 3y2) = 0 Factor a trinomial. 3((-11 + -3y)(5 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-11 + -3y)' equal to zero and attempt to solve: Simplifying -11 + -3y = 0 Solving -11 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3y = 0 + 11 -3y = 0 + 11 Combine like terms: 0 + 11 = 11 -3y = 11 Divide each side by '-3'. y = -3.666666667 Simplifying y = -3.666666667Subproblem 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 = {-3.666666667, 5}
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