2x^2-50=x^2-1

Solution for 2x^2-50=x^2-1 equation:

Simplifying
2x2 + -50 = x2 + -1

Reorder the terms:
-50 + 2x2 = x2 + -1

Reorder the terms:
-50 + 2x2 = -1 + x2

Solving
-50 + 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.
-50 + 2x2 + -1x2 = -1 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-50 + 1x2 = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-50 + 1x2 = -1 + 0
-50 + 1x2 = -1

Add '50' to each side of the equation.
-50 + 50 + 1x2 = -1 + 50

Combine like terms: -50 + 50 = 0
0 + 1x2 = -1 + 50
1x2 = -1 + 50

Combine like terms: -1 + 50 = 49
1x2 = 49

Divide each side by '1'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}