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Simplifying 2y(8y + 7) = 15 Reorder the terms: 2y(7 + 8y) = 15 (7 * 2y + 8y * 2y) = 15 (14y + 16y2) = 15 Solving 14y + 16y2 = 15 Solving for variable 'y'. Reorder the terms: -15 + 14y + 16y2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 14y + 16y2 = 0 Factor a trinomial. (-3 + -2y)(5 + -8y) = 0Subproblem 1
Set the factor '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 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 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5Subproblem 2
Set the factor '(5 + -8y)' equal to zero and attempt to solve: Simplifying 5 + -8y = 0 Solving 5 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8y = 0 + -5 -8y = 0 + -5 Combine like terms: 0 + -5 = -5 -8y = -5 Divide each side by '-8'. y = 0.625 Simplifying y = 0.625Solution
y = {-1.5, 0.625}
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