5y^2+5=-26y

Solution for 5y^2+5=-26y equation:

Simplifying
5y2 + 5 = -26y

Reorder the terms:
5 + 5y2 = -26y

Solving
5 + 5y2 = -26y

Solving for variable 'y'.

Reorder the terms:
5 + 26y + 5y2 = -26y + 26y

Combine like terms: -26y + 26y = 0
5 + 26y + 5y2 = 0

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

Subproblem 1
Set the factor '(5 + y)' equal to zero and attempt to solve:

Simplifying
5 + y = 0

Solving
5 + y = 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 + y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + y = 0 + -5
y = 0 + -5

Combine like terms: 0 + -5 = -5
y = -5

Simplifying
y = -5
Subproblem 2
Set the factor '(1 + 5y)' equal to zero and attempt to solve:

Simplifying
1 + 5y = 0

Solving
1 + 5y = 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 + 5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5y = 0 + -1
5y = 0 + -1

Combine like terms: 0 + -1 = -1
5y = -1

Divide each side by '5'.
y = -0.2

Simplifying
y = -0.2
Solution
y = {-5, -0.2}