11y^2-14y-16=0

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Solution for 11y^2-14y-16=0 equation:


Simplifying
11y2 + -14y + -16 = 0

Reorder the terms:
-16 + -14y + 11y2 = 0

Solving
-16 + -14y + 11y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -11y)(2 + -1y) = 0

Subproblem 1

Set the factor '(-8 + -11y)' equal to zero and attempt to solve: Simplifying -8 + -11y = 0 Solving -8 + -11y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -11y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -11y = 0 + 8 -11y = 0 + 8 Combine like terms: 0 + 8 = 8 -11y = 8 Divide each side by '-11'. y = -0.7272727273 Simplifying y = -0.7272727273

Subproblem 2

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 = 2

Solution

y = {-0.7272727273, 2}

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