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Simplifying 4y(y + 3) + y = 5 + 12 Reorder the terms: 4y(3 + y) + y = 5 + 12 (3 * 4y + y * 4y) + y = 5 + 12 (12y + 4y2) + y = 5 + 12 Reorder the terms: 12y + y + 4y2 = 5 + 12 Combine like terms: 12y + y = 13y 13y + 4y2 = 5 + 12 Combine like terms: 5 + 12 = 17 13y + 4y2 = 17 Solving 13y + 4y2 = 17 Solving for variable 'y'. Reorder the terms: -17 + 13y + 4y2 = 17 + -17 Combine like terms: 17 + -17 = 0 -17 + 13y + 4y2 = 0 Factor a trinomial. (-17 + -4y)(1 + -1y) = 0Subproblem 1
Set the factor '(-17 + -4y)' equal to zero and attempt to solve: Simplifying -17 + -4y = 0 Solving -17 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -4y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -4y = 0 + 17 -4y = 0 + 17 Combine like terms: 0 + 17 = 17 -4y = 17 Divide each side by '-4'. y = -4.25 Simplifying y = -4.25Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {-4.25, 1}
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