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Simplifying 4y2 + 12y + 9 = 36 Reorder the terms: 9 + 12y + 4y2 = 36 Solving 9 + 12y + 4y2 = 36 Solving for variable 'y'. Reorder the terms: 9 + -36 + 12y + 4y2 = 36 + -36 Combine like terms: 9 + -36 = -27 -27 + 12y + 4y2 = 36 + -36 Combine like terms: 36 + -36 = 0 -27 + 12y + 4y2 = 0 Factor a trinomial. (-9 + -2y)(3 + -2y) = 0Subproblem 1
Set the factor '(-9 + -2y)' equal to zero and attempt to solve: Simplifying -9 + -2y = 0 Solving -9 + -2y = 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 + -2y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2y = 0 + 9 -2y = 0 + 9 Combine like terms: 0 + 9 = 9 -2y = 9 Divide each side by '-2'. y = -4.5 Simplifying y = -4.5Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {-4.5, 1.5}
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