13x(8x+9x-12x)+6=490

Solution for 13x(8x+9x-12x)+6=490 equation:

Simplifying
13x(8x + 9x + -12x) + 6 = 490

Combine like terms: 8x + 9x = 17x
13x(17x + -12x) + 6 = 490

Combine like terms: 17x + -12x = 5x
13x(5x) + 6 = 490

Remove parenthesis around (5x)
13x * 5x + 6 = 490

Reorder the terms for easier multiplication:
13 * 5x * x + 6 = 490

Multiply 13 * 5
65x * x + 6 = 490

Multiply x * x
65x2 + 6 = 490

Reorder the terms:
6 + 65x2 = 490

Solving
6 + 65x2 = 490

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 + 65x2 = 490 + -6

Combine like terms: 6 + -6 = 0
0 + 65x2 = 490 + -6
65x2 = 490 + -6

Combine like terms: 490 + -6 = 484
65x2 = 484

Divide each side by '65'.
x2 = 7.446153846

Simplifying
x2 = 7.446153846

Take the square root of each side:
x = {-2.728764161, 2.728764161}