25x^2+61x+36=0

Solution for 25x^2+61x+36=0 equation:

Simplifying
25x2 + 61x + 36 = 0

Reorder the terms:
36 + 61x + 25x2 = 0

Solving
36 + 61x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(36 + 25x)(1 + x) = 0

Subproblem 1
Set the factor '(36 + 25x)' equal to zero and attempt to solve:

Simplifying
36 + 25x = 0

Solving
36 + 25x = 0

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

Add '-36' to each side of the equation.
36 + -36 + 25x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 25x = 0 + -36
25x = 0 + -36

Combine like terms: 0 + -36 = -36
25x = -36

Divide each side by '25'.
x = -1.44

Simplifying
x = -1.44
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-1.44, -1}