2x^2+19+4x^2-13=180

Solution for 2x^2+19+4x^2-13=180 equation:

Simplifying
2x2 + 19 + 4x2 + -13 = 180

Reorder the terms:
19 + -13 + 2x2 + 4x2 = 180

Combine like terms: 19 + -13 = 6
6 + 2x2 + 4x2 = 180

Combine like terms: 2x2 + 4x2 = 6x2
6 + 6x2 = 180

Solving
6 + 6x2 = 180

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 6x2 = 180 + -6

Combine like terms: 6 + -6 = 0
0 + 6x2 = 180 + -6
6x2 = 180 + -6

Combine like terms: 180 + -6 = 174
6x2 = 174

Divide each side by '6'.
x2 = 29

Simplifying
x2 = 29

Take the square root of each side:
x = {-5.385164807, 5.385164807}