2x*3x+1=180

Solution for 2x*3x+1=180 equation:

Simplifying
2x * 3x + 1 = 180

Reorder the terms for easier multiplication:
2 * 3x * x + 1 = 180

Multiply 2 * 3
6x * x + 1 = 180

Multiply x * x
6x2 + 1 = 180

Reorder the terms:
1 + 6x2 = 180

Solving
1 + 6x2 = 180

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 6x2 = 180 + -1

Combine like terms: 1 + -1 = 0
0 + 6x2 = 180 + -1
6x2 = 180 + -1

Combine like terms: 180 + -1 = 179
6x2 = 179

Divide each side by '6'.
x2 = 29.83333333

Simplifying
x2 = 29.83333333

Take the square root of each side:
x = {-5.461989869, 5.461989869}