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Simplifying y(15y + 16) = -4 Reorder the terms: y(16 + 15y) = -4 (16 * y + 15y * y) = -4 (16y + 15y2) = -4 Solving 16y + 15y2 = -4 Solving for variable 'y'. Reorder the terms: 4 + 16y + 15y2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 16y + 15y2 = 0 Factor a trinomial. (2 + 3y)(2 + 5y) = 0Subproblem 1
Set the factor '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667Subproblem 2
Set the factor '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4Solution
y = {-0.6666666667, -0.4}
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