26y^2+37y+12=0

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Solution for 26y^2+37y+12=0 equation:


Simplifying
26y2 + 37y + 12 = 0

Reorder the terms:
12 + 37y + 26y2 = 0

Solving
12 + 37y + 26y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(12 + 13y)(1 + 2y) = 0

Subproblem 1

Set the factor '(12 + 13y)' equal to zero and attempt to solve: Simplifying 12 + 13y = 0 Solving 12 + 13y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 13y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 13y = 0 + -12 13y = 0 + -12 Combine like terms: 0 + -12 = -12 13y = -12 Divide each side by '13'. y = -0.9230769231 Simplifying y = -0.9230769231

Subproblem 2

Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 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 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5

Solution

y = {-0.9230769231, -0.5}

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