3x*3x+1=28

Solution for 3x*3x+1=28 equation:

Simplifying
3x * 3x + 1 = 28

Reorder the terms for easier multiplication:
3 * 3x * x + 1 = 28

Multiply 3 * 3
9x * x + 1 = 28

Multiply x * x
9x2 + 1 = 28

Reorder the terms:
1 + 9x2 = 28

Solving
1 + 9x2 = 28

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 + 9x2 = 28 + -1

Combine like terms: 1 + -1 = 0
0 + 9x2 = 28 + -1
9x2 = 28 + -1

Combine like terms: 28 + -1 = 27
9x2 = 27

Divide each side by '9'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}