(2x^2)+3=19

Solution for (2x^2)+3=19 equation:

Simplifying
(2x2) + 3 = 19

Reorder the terms:
3 + (2x2) = 19

Solving
3 + (2x2) = 19

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + (2x2) = 19 + -3

Combine like terms: 3 + -3 = 0
0 + (2x2) = 19 + -3
(2x2) = 19 + -3

Combine like terms: 19 + -3 = 16
(2x2) = 16

Divide each side by '2'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}