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Simplifying 20y2 + -1y + -30 = 0 Reorder the terms: -30 + -1y + 20y2 = 0 Solving -30 + -1y + 20y2 = 0 Solving for variable 'y'. Factor a trinomial. (-6 + -5y)(5 + -4y) = 0Subproblem 1
Set the factor '(-6 + -5y)' equal to zero and attempt to solve: Simplifying -6 + -5y = 0 Solving -6 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5y = 0 + 6 -5y = 0 + 6 Combine like terms: 0 + 6 = 6 -5y = 6 Divide each side by '-5'. y = -1.2 Simplifying y = -1.2Subproblem 2
Set the factor '(5 + -4y)' equal to zero and attempt to solve: Simplifying 5 + -4y = 0 Solving 5 + -4y = 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 + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 0 + -5 -4y = 0 + -5 Combine like terms: 0 + -5 = -5 -4y = -5 Divide each side by '-4'. y = 1.25 Simplifying y = 1.25Solution
y = {-1.2, 1.25}
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