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Simplifying 4y2 + -7y + -11 = 0 Reorder the terms: -11 + -7y + 4y2 = 0 Solving -11 + -7y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y)(11 + -4y) = 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 '(11 + -4y)' equal to zero and attempt to solve: Simplifying 11 + -4y = 0 Solving 11 + -4y = 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 + -4y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4y = 0 + -11 -4y = 0 + -11 Combine like terms: 0 + -11 = -11 -4y = -11 Divide each side by '-4'. y = 2.75 Simplifying y = 2.75Solution
y = {-1, 2.75}
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