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Simplifying 14y2 + 17y + -22 = 0 Reorder the terms: -22 + 17y + 14y2 = 0 Solving -22 + 17y + 14y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y)(11 + -14y) = 0Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 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 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(11 + -14y)' equal to zero and attempt to solve: Simplifying 11 + -14y = 0 Solving 11 + -14y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -14y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -14y = 0 + -11 -14y = 0 + -11 Combine like terms: 0 + -11 = -11 -14y = -11 Divide each side by '-14'. y = 0.7857142857 Simplifying y = 0.7857142857Solution
y = {-2, 0.7857142857}
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