4x^2+2=100

Solution for 4x^2+2=100 equation:

Simplifying
4x2 + 2 = 100

Reorder the terms:
2 + 4x2 = 100

Solving
2 + 4x2 = 100

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 4x2 = 100 + -2

Combine like terms: 2 + -2 = 0
0 + 4x2 = 100 + -2
4x2 = 100 + -2

Combine like terms: 100 + -2 = 98
4x2 = 98

Divide each side by '4'.
x2 = 24.5

Simplifying
x2 = 24.5

Take the square root of each side:
x = {-4.949747468, 4.949747468}