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Simplifying -8y2 + -30y + 25 = 25 Reorder the terms: 25 + -30y + -8y2 = 25 Add '-25' to each side of the equation. 25 + -30y + -25 + -8y2 = 25 + -25 Reorder the terms: 25 + -25 + -30y + -8y2 = 25 + -25 Combine like terms: 25 + -25 = 0 0 + -30y + -8y2 = 25 + -25 -30y + -8y2 = 25 + -25 Combine like terms: 25 + -25 = 0 -30y + -8y2 = 0 Solving -30y + -8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-2y'. -2y(15 + 4y) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(15 + 4y)' equal to zero and attempt to solve: Simplifying 15 + 4y = 0 Solving 15 + 4y = 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 + 4y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4y = 0 + -15 4y = 0 + -15 Combine like terms: 0 + -15 = -15 4y = -15 Divide each side by '4'. y = -3.75 Simplifying y = -3.75Solution
y = {0, -3.75}
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