100x^2+1=101

Solution for 100x^2+1=101 equation:

Simplifying
100x2 + 1 = 101

Reorder the terms:
1 + 100x2 = 101

Solving
1 + 100x2 = 101

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 + 100x2 = 101 + -1

Combine like terms: 1 + -1 = 0
0 + 100x2 = 101 + -1
100x2 = 101 + -1

Combine like terms: 101 + -1 = 100
100x2 = 100

Divide each side by '100'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}