4x^2+1-101=0

Solution for 4x^2+1-101=0 equation:

Simplifying
4x2 + 1 + -101 = 0

Reorder the terms:
1 + -101 + 4x2 = 0

Combine like terms: 1 + -101 = -100
-100 + 4x2 = 0

Solving
-100 + 4x2 = 0

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + 4x2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 4x2 = 0 + 100
4x2 = 0 + 100

Combine like terms: 0 + 100 = 100
4x2 = 100

Divide each side by '4'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}