6x^2-25=25x

Solution for 6x^2-25=25x equation:

Simplifying
6x2 + -25 = 25x

Reorder the terms:
-25 + 6x2 = 25x

Solving
-25 + 6x2 = 25x

Solving for variable 'x'.

Reorder the terms:
-25 + -25x + 6x2 = 25x + -25x

Combine like terms: 25x + -25x = 0
-25 + -25x + 6x2 = 0

Factor a trinomial.
(-5 + -6x)(5 + -1x) = 0

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

Simplifying
-5 + -6x = 0

Solving
-5 + -6x = 0

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

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

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

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

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-0.8333333333, 5}