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Simplifying 0 = 3y2 + 11y + -14 Reorder the terms: 0 = -14 + 11y + 3y2 Solving 0 = -14 + 11y + 3y2 Solving for variable 'y'. Combine like terms: 0 + 14 = 14 14 + -11y + -3y2 = -14 + 11y + 3y2 + 14 + -11y + -3y2 Reorder the terms: 14 + -11y + -3y2 = -14 + 14 + 11y + -11y + 3y2 + -3y2 Combine like terms: -14 + 14 = 0 14 + -11y + -3y2 = 0 + 11y + -11y + 3y2 + -3y2 14 + -11y + -3y2 = 11y + -11y + 3y2 + -3y2 Combine like terms: 11y + -11y = 0 14 + -11y + -3y2 = 0 + 3y2 + -3y2 14 + -11y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 14 + -11y + -3y2 = 0 Factor a trinomial. (1 + -1y)(14 + 3y) = 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 '(14 + 3y)' equal to zero and attempt to solve: Simplifying 14 + 3y = 0 Solving 14 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3y = 0 + -14 3y = 0 + -14 Combine like terms: 0 + -14 = -14 3y = -14 Divide each side by '3'. y = -4.666666667 Simplifying y = -4.666666667Solution
y = {1, -4.666666667}
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