25x^2-8x+36=-68x

Solution for 25x^2-8x+36=-68x equation:

Simplifying
25x2 + -8x + 36 = -68x

Reorder the terms:
36 + -8x + 25x2 = -68x

Solving
36 + -8x + 25x2 = -68x

Solving for variable 'x'.

Reorder the terms:
36 + -8x + 68x + 25x2 = -68x + 68x

Combine like terms: -8x + 68x = 60x
36 + 60x + 25x2 = -68x + 68x

Combine like terms: -68x + 68x = 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}