(6a+3b)(2a-b)=

Solution for (6a+3b)(2a-b)= equation:

Simplifying
(6a + 3b)(2a + -1b) = 0

Multiply (6a + 3b) * (2a + -1b)
(6a * (2a + -1b) + 3b * (2a + -1b)) = 0
((2a * 6a + -1b * 6a) + 3b * (2a + -1b)) = 0

Reorder the terms:
((-6ab + 12a2) + 3b * (2a + -1b)) = 0
((-6ab + 12a2) + 3b * (2a + -1b)) = 0
(-6ab + 12a2 + (2a * 3b + -1b * 3b)) = 0
(-6ab + 12a2 + (6ab + -3b2)) = 0

Reorder the terms:
(-6ab + 6ab + 12a2 + -3b2) = 0

Combine like terms: -6ab + 6ab = 0
(0 + 12a2 + -3b2) = 0
(12a2 + -3b2) = 0

Solving
12a2 + -3b2 = 0

Solving for variable 'a'.

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

Add '3b2' to each side of the equation.
12a2 + -3b2 + 3b2 = 0 + 3b2

Combine like terms: -3b2 + 3b2 = 0
12a2 + 0 = 0 + 3b2
12a2 = 0 + 3b2
Remove the zero:
12a2 = 3b2

Divide each side by '12'.
a2 = 0.25b2

Simplifying
a2 = 0.25b2

Take the square root of each side:
a = {-0.5b, 0.5b}