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Simplifying 3y(2y + 1) = -8y + -4 Reorder the terms: 3y(1 + 2y) = -8y + -4 (1 * 3y + 2y * 3y) = -8y + -4 (3y + 6y2) = -8y + -4 Reorder the terms: 3y + 6y2 = -4 + -8y Solving 3y + 6y2 = -4 + -8y Solving for variable 'y'. Reorder the terms: 4 + 3y + 8y + 6y2 = -4 + -8y + 4 + 8y Combine like terms: 3y + 8y = 11y 4 + 11y + 6y2 = -4 + -8y + 4 + 8y Reorder the terms: 4 + 11y + 6y2 = -4 + 4 + -8y + 8y Combine like terms: -4 + 4 = 0 4 + 11y + 6y2 = 0 + -8y + 8y 4 + 11y + 6y2 = -8y + 8y Combine like terms: -8y + 8y = 0 4 + 11y + 6y2 = 0 Factor a trinomial. (4 + 3y)(1 + 2y) = 0Subproblem 1
Set the factor '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333Subproblem 2
Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 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 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5Solution
y = {-1.333333333, -0.5}
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