6(5)=2x(3x)

Solution for 6(5)=2x(3x) equation:

Simplifying
6(5) = 2x(3x)

Multiply 6 * 5
30 = 2x(3x)

Remove parenthesis around (3x)
30 = 2x * 3x

Reorder the terms for easier multiplication:
30 = 2 * 3x * x

Multiply 2 * 3
30 = 6x * x

Multiply x * x
30 = 6x2

Solving
30 = 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
30 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
30 + -6x2 = 0

Add '-30' to each side of the equation.
30 + -30 + -6x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -6x2 = 0 + -30
-6x2 = 0 + -30

Combine like terms: 0 + -30 = -30
-6x2 = -30

Divide each side by '-6'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}