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Simplifying 5y2 = -16y + -3 Reorder the terms: 5y2 = -3 + -16y Solving 5y2 = -3 + -16y Solving for variable 'y'. Reorder the terms: 3 + 16y + 5y2 = -3 + -16y + 3 + 16y Reorder the terms: 3 + 16y + 5y2 = -3 + 3 + -16y + 16y Combine like terms: -3 + 3 = 0 3 + 16y + 5y2 = 0 + -16y + 16y 3 + 16y + 5y2 = -16y + 16y Combine like terms: -16y + 16y = 0 3 + 16y + 5y2 = 0 Factor a trinomial. (3 + y)(1 + 5y) = 0Subproblem 1
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 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 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Subproblem 2
Set the factor '(1 + 5y)' equal to zero and attempt to solve: Simplifying 1 + 5y = 0 Solving 1 + 5y = 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 + 5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 0 + -1 5y = 0 + -1 Combine like terms: 0 + -1 = -1 5y = -1 Divide each side by '5'. y = -0.2 Simplifying y = -0.2Solution
y = {-3, -0.2}
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