36x^2+68x+25=0

Solution for 36x^2+68x+25=0 equation:

Simplifying
36x2 + 68x + 25 = 0

Reorder the terms:
25 + 68x + 36x2 = 0

Solving
25 + 68x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(25 + 18x)(1 + 2x) = 0

Subproblem 1
Set the factor '(25 + 18x)' equal to zero and attempt to solve:

Simplifying
25 + 18x = 0

Solving
25 + 18x = 0

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

Add '-25' to each side of the equation.
25 + -25 + 18x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 18x = 0 + -25
18x = 0 + -25

Combine like terms: 0 + -25 = -25
18x = -25

Divide each side by '18'.
x = -1.388888889

Simplifying
x = -1.388888889
Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-1.388888889, -0.5}