x^2*2+1001=5006

Solution for x^2*2+1001=5006 equation:

Simplifying
x2 * 2 + 1001 = 5006

Reorder the terms for easier multiplication:
2x2 + 1001 = 5006

Reorder the terms:
1001 + 2x2 = 5006

Solving
1001 + 2x2 = 5006

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1001' to each side of the equation.
1001 + -1001 + 2x2 = 5006 + -1001

Combine like terms: 1001 + -1001 = 0
0 + 2x2 = 5006 + -1001
2x2 = 5006 + -1001

Combine like terms: 5006 + -1001 = 4005
2x2 = 4005

Divide each side by '2'.
x2 = 2002.5

Simplifying
x2 = 2002.5

Take the square root of each side:
x = {-44.749301671, 44.749301671}