2x^2-x^2-25=0

Solution for 2x^2-x^2-25=0 equation:

Simplifying
2x2 + -1x2 + -25 = 0

Reorder the terms:
-25 + 2x2 + -1x2 = 0

Combine like terms: 2x2 + -1x2 = 1x2
-25 + 1x2 = 0

Solving
-25 + 1x2 = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 1x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 1x2 = 0 + 25
1x2 = 0 + 25

Combine like terms: 0 + 25 = 25
1x2 = 25

Divide each side by '1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}