2X^2-25=X^2

Solution for 2X^2-25=X^2 equation:

Simplifying
2X2 + -25 = X2

Reorder the terms:
-25 + 2X2 = X2

Solving
-25 + 2X2 = X2

Solving for variable 'X'.

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

Add '-1X2' to each side of the equation.
-25 + 2X2 + -1X2 = X2 + -1X2

Combine like terms: 2X2 + -1X2 = 1X2
-25 + 1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-25 + 1X2 = 0

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}