x(10x+x)=3(5+3)

Solution for x(10x+x)=3(5+3) equation:

Simplifying
x(10x + x) = 3(5 + 3)

Combine like terms: 10x + x = 11x
x(11x) = 3(5 + 3)

Remove parenthesis around (11x)
x * 11x = 3(5 + 3)

Reorder the terms for easier multiplication:
11x * x = 3(5 + 3)

Multiply x * x
11x2 = 3(5 + 3)

Combine like terms: 5 + 3 = 8
11x2 = 3(8)

Multiply 3 * 8
11x2 = 24

Solving
11x2 = 24

Solving for variable 'x'.

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

Divide each side by '11'.
x2 = 2.181818182

Simplifying
x2 = 2.181818182

Take the square root of each side:
x = {-1.477097892, 1.477097892}