25y+13=2y^2

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Solution for 25y+13=2y^2 equation:


Simplifying
25y + 13 = 2y2

Reorder the terms:
13 + 25y = 2y2

Solving
13 + 25y = 2y2

Solving for variable 'y'.

Combine like terms: 2y2 + -2y2 = 0
13 + 25y + -2y2 = 0

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

Subproblem 1

Set the factor '(13 + -1y)' equal to zero and attempt to solve: Simplifying 13 + -1y = 0 Solving 13 + -1y = 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 + -1y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1y = 0 + -13 -1y = 0 + -13 Combine like terms: 0 + -13 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13

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 = {13, -0.5}

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