2y^2-y-66=0

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Solution for 2y^2-y-66=0 equation:


Simplifying
2y2 + -1y + -66 = 0

Reorder the terms:
-66 + -1y + 2y2 = 0

Solving
-66 + -1y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-11 + -2y)(6 + -1y) = 0

Subproblem 1

Set the factor '(-11 + -2y)' equal to zero and attempt to solve: Simplifying -11 + -2y = 0 Solving -11 + -2y = 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 + -2y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2y = 0 + 11 -2y = 0 + 11 Combine like terms: 0 + 11 = 11 -2y = 11 Divide each side by '-2'. y = -5.5 Simplifying y = -5.5

Subproblem 2

Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6

Solution

y = {-5.5, 6}

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