y(6y-13)=5

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Solution for y(6y-13)=5 equation:


Simplifying
y(6y + -13) = 5

Reorder the terms:
y(-13 + 6y) = 5
(-13 * y + 6y * y) = 5
(-13y + 6y2) = 5

Solving
-13y + 6y2 = 5

Solving for variable 'y'.

Reorder the terms:
-5 + -13y + 6y2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -13y + 6y2 = 0

Factor a trinomial.
(-1 + -3y)(5 + -2y) = 0

Subproblem 1

Set the factor '(-1 + -3y)' equal to zero and attempt to solve: Simplifying -1 + -3y = 0 Solving -1 + -3y = 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 + -3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3y = 0 + 1 -3y = 0 + 1 Combine like terms: 0 + 1 = 1 -3y = 1 Divide each side by '-3'. y = -0.3333333333 Simplifying y = -0.3333333333

Subproblem 2

Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5

Solution

y = {-0.3333333333, 2.5}

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