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Simplifying 4y2 + 20y + 25 = 16 Reorder the terms: 25 + 20y + 4y2 = 16 Solving 25 + 20y + 4y2 = 16 Solving for variable 'y'. Reorder the terms: 25 + -16 + 20y + 4y2 = 16 + -16 Combine like terms: 25 + -16 = 9 9 + 20y + 4y2 = 16 + -16 Combine like terms: 16 + -16 = 0 9 + 20y + 4y2 = 0 Factor a trinomial. (9 + 2y)(1 + 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 '(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 = {-4.5, -0.5}
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