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Simplifying 15y2 + 44y + -20 = 0 Reorder the terms: -20 + 44y + 15y2 = 0 Solving -20 + 44y + 15y2 = 0 Solving for variable 'y'. Factor a trinomial. (-10 + -3y)(2 + -5y) = 0Subproblem 1
Set the factor '(-10 + -3y)' equal to zero and attempt to solve: Simplifying -10 + -3y = 0 Solving -10 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3y = 0 + 10 -3y = 0 + 10 Combine like terms: 0 + 10 = 10 -3y = 10 Divide each side by '-3'. y = -3.333333333 Simplifying y = -3.333333333Subproblem 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 = {-3.333333333, 0.4}
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