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Simplifying 0 = 15y2 + 26y + 8 Reorder the terms: 0 = 8 + 26y + 15y2 Solving 0 = 8 + 26y + 15y2 Solving for variable 'y'. Combine like terms: 0 + -8 = -8 -8 + -26y + -15y2 = 8 + 26y + 15y2 + -8 + -26y + -15y2 Reorder the terms: -8 + -26y + -15y2 = 8 + -8 + 26y + -26y + 15y2 + -15y2 Combine like terms: 8 + -8 = 0 -8 + -26y + -15y2 = 0 + 26y + -26y + 15y2 + -15y2 -8 + -26y + -15y2 = 26y + -26y + 15y2 + -15y2 Combine like terms: 26y + -26y = 0 -8 + -26y + -15y2 = 0 + 15y2 + -15y2 -8 + -26y + -15y2 = 15y2 + -15y2 Combine like terms: 15y2 + -15y2 = 0 -8 + -26y + -15y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 26y + 15y2) = 0 Factor a trinomial. -1((4 + 3y)(2 + 5y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333Subproblem 2
Set the factor '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4Solution
y = {-1.333333333, -0.4}
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