(3x*3x)+(2*2)-3=13

Solution for (3x*3x)+(2*2)-3=13 equation:

Simplifying
(3x * 3x) + (2 * 2) + -3 = 13

Reorder the terms for easier multiplication:
(3 * 3x * x) + (2 * 2) + -3 = 13

Multiply 3 * 3
(9x * x) + (2 * 2) + -3 = 13

Multiply x * x
(9x2) + (2 * 2) + -3 = 13

Multiply 2 * 2
(9x2) + (4) + -3 = 13
(9x2) + 4 + -3 = 13

Reorder the terms:
4 + -3 + (9x2) = 13

Combine like terms: 4 + -3 = 1
1 + (9x2) = 13

Solving
1 + (9x2) = 13

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) = 13 + -1

Combine like terms: 1 + -1 = 0
0 + (9x2) = 13 + -1
(9x2) = 13 + -1

Combine like terms: 13 + -1 = 12
(9x2) = 12

Divide each side by '9'.
x2 = 1.333333333

Simplifying
x2 = 1.333333333

Take the square root of each side:
x = {-1.154700538, 1.154700538}