3x(4x+3x)=24

Solution for 3x(4x+3x)=24 equation:

Simplifying
3x(4x + 3x) = 24

Combine like terms: 4x + 3x = 7x
3x(7x) = 24

Remove parenthesis around (7x)
3x * 7x = 24

Reorder the terms for easier multiplication:
3 * 7x * x = 24

Multiply 3 * 7
21x * x = 24

Multiply x * x
21x2 = 24

Solving
21x2 = 24

Solving for variable 'x'.

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

Divide each side by '21'.
x2 = 1.142857143

Simplifying
x2 = 1.142857143

Take the square root of each side:
x = {-1.069044968, 1.069044968}