10x^2+1=1001

Solution for 10x^2+1=1001 equation:

Simplifying
10x2 + 1 = 1001

Reorder the terms:
1 + 10x2 = 1001

Solving
1 + 10x2 = 1001

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 10x2 = 1001 + -1

Combine like terms: 1 + -1 = 0
0 + 10x2 = 1001 + -1
10x2 = 1001 + -1

Combine like terms: 1001 + -1 = 1000
10x2 = 1000

Divide each side by '10'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}