3y^2-26y-77=0

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Solution for 3y^2-26y-77=0 equation:


Simplifying
3y2 + -26y + -77 = 0

Reorder the terms:
-77 + -26y + 3y2 = 0

Solving
-77 + -26y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -3y)(11 + -1y) = 0

Subproblem 1

Set the factor '(-7 + -3y)' equal to zero and attempt to solve: Simplifying -7 + -3y = 0 Solving -7 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3y = 0 + 7 -3y = 0 + 7 Combine like terms: 0 + 7 = 7 -3y = 7 Divide each side by '-3'. y = -2.333333333 Simplifying y = -2.333333333

Subproblem 2

Set the factor '(11 + -1y)' equal to zero and attempt to solve: Simplifying 11 + -1y = 0 Solving 11 + -1y = 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 + -1y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1y = 0 + -11 -1y = 0 + -11 Combine like terms: 0 + -11 = -11 -1y = -11 Divide each side by '-1'. y = 11 Simplifying y = 11

Solution

y = {-2.333333333, 11}

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