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Simplifying 28y2 + 71y + 18 = 0 Reorder the terms: 18 + 71y + 28y2 = 0 Solving 18 + 71y + 28y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + 4y)(2 + 7y) = 0Subproblem 1
Set the factor '(9 + 4y)' equal to zero and attempt to solve: Simplifying 9 + 4y = 0 Solving 9 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 0 + -9 4y = 0 + -9 Combine like terms: 0 + -9 = -9 4y = -9 Divide each side by '4'. y = -2.25 Simplifying y = -2.25Subproblem 2
Set the factor '(2 + 7y)' equal to zero and attempt to solve: Simplifying 2 + 7y = 0 Solving 2 + 7y = 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 + 7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7y = 0 + -2 7y = 0 + -2 Combine like terms: 0 + -2 = -2 7y = -2 Divide each side by '7'. y = -0.2857142857 Simplifying y = -0.2857142857Solution
y = {-2.25, -0.2857142857}
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