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Simplifying 8y2 + 26y + 15y = 0 Reorder the terms: 26y + 15y + 8y2 = 0 Combine like terms: 26y + 15y = 41y 41y + 8y2 = 0 Solving 41y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(41 + 8y) = 0Subproblem 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 '(41 + 8y)' equal to zero and attempt to solve: Simplifying 41 + 8y = 0 Solving 41 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 8y = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 8y = 0 + -41 8y = 0 + -41 Combine like terms: 0 + -41 = -41 8y = -41 Divide each side by '8'. y = -5.125 Simplifying y = -5.125Solution
y = {0, -5.125}
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