25x^2+61x+36=x

Solution for 25x^2+61x+36=x equation:

Simplifying
25x2 + 61x + 36 = x

Reorder the terms:
36 + 61x + 25x2 = x

Solving
36 + 61x + 25x2 = x

Solving for variable 'x'.

Reorder the terms:
36 + 61x + -1x + 25x2 = x + -1x

Combine like terms: 61x + -1x = 60x
36 + 60x + 25x2 = x + -1x

Combine like terms: x + -1x = 0
36 + 60x + 25x2 = 0

Factor a trinomial.
(6 + 5x)(6 + 5x) = 0

Subproblem 1
Set the factor '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 0 + -6
5x = 0 + -6

Combine like terms: 0 + -6 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2
Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 0 + -6
5x = 0 + -6

Combine like terms: 0 + -6 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2
Solution
x = {-1.2, -1.2}