2400=(12)(x)(2x)

Solution for 2400=(12)(x)(2x) equation:

Simplifying
2400 = (12)(x)(2x)

Remove parenthesis around (2x)
2400 = 12x * 2x

Reorder the terms for easier multiplication:
2400 = 12 * 2x * x

Multiply 12 * 2
2400 = 24x * x

Multiply x * x
2400 = 24x2

Solving
2400 = 24x2

Solving for variable 'x'.

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

Add '-24x2' to each side of the equation.
2400 + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
2400 + -24x2 = 0

Add '-2400' to each side of the equation.
2400 + -2400 + -24x2 = 0 + -2400

Combine like terms: 2400 + -2400 = 0
0 + -24x2 = 0 + -2400
-24x2 = 0 + -2400

Combine like terms: 0 + -2400 = -2400
-24x2 = -2400

Divide each side by '-24'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}