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Simplifying 8y(-8 + -6y) = 20 (-8 * 8y + -6y * 8y) = 20 (-64y + -48y2) = 20 Solving -64y + -48y2 = 20 Solving for variable 'y'. Reorder the terms: -20 + -64y + -48y2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -64y + -48y2 = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(5 + 16y + 12y2) = 0 Factor a trinomial. -4((5 + 6y)(1 + 2y)) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(5 + 6y)' equal to zero and attempt to solve: Simplifying 5 + 6y = 0 Solving 5 + 6y = 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 + 6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6y = 0 + -5 6y = 0 + -5 Combine like terms: 0 + -5 = -5 6y = -5 Divide each side by '6'. y = -0.8333333333 Simplifying y = -0.8333333333Subproblem 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 = {-0.8333333333, -0.5}
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