2(x^2-5)=x^2-1

Solution for 2(x^2-5)=x^2-1 equation:

Simplifying
2(x2 + -5) = x2 + -1

Reorder the terms:
2(-5 + x2) = x2 + -1
(-5 * 2 + x2 * 2) = x2 + -1
(-10 + 2x2) = x2 + -1

Reorder the terms:
-10 + 2x2 = -1 + x2

Solving
-10 + 2x2 = -1 + 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.
-10 + 2x2 + -1x2 = -1 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-10 + 1x2 = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + 1x2 = -1 + 0
-10 + 1x2 = -1

Add '10' to each side of the equation.
-10 + 10 + 1x2 = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 1x2 = -1 + 10
1x2 = -1 + 10

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

Divide each side by '1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}