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Simplifying 9y(y) + -19y + -28 = 0 Multiply y * y 9y2 + -19y + -28 = 0 Reorder the terms: -28 + -19y + 9y2 = 0 Solving -28 + -19y + 9y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y)(28 + -9y) = 0Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(28 + -9y)' equal to zero and attempt to solve: Simplifying 28 + -9y = 0 Solving 28 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -9y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -9y = 0 + -28 -9y = 0 + -28 Combine like terms: 0 + -28 = -28 -9y = -28 Divide each side by '-9'. y = 3.111111111 Simplifying y = 3.111111111Solution
y = {-1, 3.111111111}
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