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Simplifying 27y2 + -15y + -28 = 0 Reorder the terms: -28 + -15y + 27y2 = 0 Solving -28 + -15y + 27y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -9y)(4 + -3y) = 0Subproblem 1
Set the factor '(-7 + -9y)' equal to zero and attempt to solve: Simplifying -7 + -9y = 0 Solving -7 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -9y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9y = 0 + 7 -9y = 0 + 7 Combine like terms: 0 + 7 = 7 -9y = 7 Divide each side by '-9'. y = -0.7777777778 Simplifying y = -0.7777777778Subproblem 2
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 = 1.333333333Solution
y = {-0.7777777778, 1.333333333}
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