x^2-4+x^2+1=x^2+16

Solution for x^2-4+x^2+1=x^2+16 equation:

Simplifying
x2 + -4 + x2 + 1 = x2 + 16

Reorder the terms:
-4 + 1 + x2 + x2 = x2 + 16

Combine like terms: -4 + 1 = -3
-3 + x2 + x2 = x2 + 16

Combine like terms: x2 + x2 = 2x2
-3 + 2x2 = x2 + 16

Reorder the terms:
-3 + 2x2 = 16 + x2

Solving
-3 + 2x2 = 16 + 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.
-3 + 2x2 + -1x2 = 16 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-3 + 1x2 = 16 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 1x2 = 16 + 0
-3 + 1x2 = 16

Add '3' to each side of the equation.
-3 + 3 + 1x2 = 16 + 3

Combine like terms: -3 + 3 = 0
0 + 1x2 = 16 + 3
1x2 = 16 + 3

Combine like terms: 16 + 3 = 19
1x2 = 19

Divide each side by '1'.
x2 = 19

Simplifying
x2 = 19

Take the square root of each side:
x = {-4.358898944, 4.358898944}