5x^2-63=x^2+1

Solution for 5x^2-63=x^2+1 equation:

Simplifying
5x2 + -63 = x2 + 1

Reorder the terms:
-63 + 5x2 = x2 + 1

Reorder the terms:
-63 + 5x2 = 1 + x2

Solving
-63 + 5x2 = 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.
-63 + 5x2 + -1x2 = 1 + x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
-63 + 4x2 = 1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-63 + 4x2 = 1 + 0
-63 + 4x2 = 1

Add '63' to each side of the equation.
-63 + 63 + 4x2 = 1 + 63

Combine like terms: -63 + 63 = 0
0 + 4x2 = 1 + 63
4x2 = 1 + 63

Combine like terms: 1 + 63 = 64
4x2 = 64

Divide each side by '4'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}