3y^2-7y-26=0

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Solution for 3y^2-7y-26=0 equation:


Simplifying
3y2 + -7y + -26 = 0

Reorder the terms:
-26 + -7y + 3y2 = 0

Solving
-26 + -7y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -1y)(13 + -3y) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(13 + -3y)' equal to zero and attempt to solve: Simplifying 13 + -3y = 0 Solving 13 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3y = 0 + -13 -3y = 0 + -13 Combine like terms: 0 + -13 = -13 -3y = -13 Divide each side by '-3'. y = 4.333333333 Simplifying y = 4.333333333

Solution

y = {-2, 4.333333333}

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