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Simplifying 0 = 64y2 + 80y + 25 Reorder the terms: 0 = 25 + 80y + 64y2 Solving 0 = 25 + 80y + 64y2 Solving for variable 'y'. Combine like terms: 0 + -25 = -25 -25 + -80y + -64y2 = 25 + 80y + 64y2 + -25 + -80y + -64y2 Reorder the terms: -25 + -80y + -64y2 = 25 + -25 + 80y + -80y + 64y2 + -64y2 Combine like terms: 25 + -25 = 0 -25 + -80y + -64y2 = 0 + 80y + -80y + 64y2 + -64y2 -25 + -80y + -64y2 = 80y + -80y + 64y2 + -64y2 Combine like terms: 80y + -80y = 0 -25 + -80y + -64y2 = 0 + 64y2 + -64y2 -25 + -80y + -64y2 = 64y2 + -64y2 Combine like terms: 64y2 + -64y2 = 0 -25 + -80y + -64y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(25 + 80y + 64y2) = 0 Factor a trinomial. -1((5 + 8y)(5 + 8y)) = 0 Ignore the factor -1.Subproblem 1
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 = -0.625Subproblem 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 = {-0.625, -0.625}
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