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Simplifying 4y2 + -28y + -15 = 0 Reorder the terms: -15 + -28y + 4y2 = 0 Solving -15 + -28y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -2y)(15 + -2y) = 0Subproblem 1
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 = -0.5Subproblem 2
Set the factor '(15 + -2y)' equal to zero and attempt to solve: Simplifying 15 + -2y = 0 Solving 15 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2y = 0 + -15 -2y = 0 + -15 Combine like terms: 0 + -15 = -15 -2y = -15 Divide each side by '-2'. y = 7.5 Simplifying y = 7.5Solution
y = {-0.5, 7.5}
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