4x^2+19=100

Solution for 4x^2+19=100 equation:

Simplifying
4x2 + 19 = 100

Reorder the terms:
19 + 4x2 = 100

Solving
19 + 4x2 = 100

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 4x2 = 100 + -19

Combine like terms: 19 + -19 = 0
0 + 4x2 = 100 + -19
4x2 = 100 + -19

Combine like terms: 100 + -19 = 81
4x2 = 81

Divide each side by '4'.
x2 = 20.25

Simplifying
x2 = 20.25

Take the square root of each side:
x = {-4.5, 4.5}