10x^2-25=x^2

Solution for 10x^2-25=x^2 equation:

Simplifying
10x2 + -25 = x2

Reorder the terms:
-25 + 10x2 = x2

Solving
-25 + 10x2 = 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 + 10x2 + -1x2 = x2 + -1x2

Combine like terms: 10x2 + -1x2 = 9x2
-25 + 9x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-25 + 9x2 = 0

Add '25' to each side of the equation.
-25 + 25 + 9x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 9x2 = 0 + 25
9x2 = 0 + 25

Combine like terms: 0 + 25 = 25
9x2 = 25

Divide each side by '9'.
x2 = 2.777777778

Simplifying
x2 = 2.777777778

Take the square root of each side:
x = {-1.666666667, 1.666666667}