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

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

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

Reorder the terms:
0 = (2a + b)(a + -6b)

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

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

Reorder the terms:
0 = (-12ab + ab + 2a2 + -6b2)

Combine like terms: -12ab + ab = -11ab
0 = (-11ab + 2a2 + -6b2)

Solving
0 = -11ab + 2a2 + -6b2

Solving for variable 'a'.
Remove the zero:
11ab + -2a2 + 6b2 = -11ab + 2a2 + -6b2 + 11ab + -2a2 + 6b2

Reorder the terms:
11ab + -2a2 + 6b2 = -11ab + 11ab + 2a2 + -2a2 + -6b2 + 6b2

Combine like terms: -11ab + 11ab = 0
11ab + -2a2 + 6b2 = 0 + 2a2 + -2a2 + -6b2 + 6b2
11ab + -2a2 + 6b2 = 2a2 + -2a2 + -6b2 + 6b2

Combine like terms: 2a2 + -2a2 = 0
11ab + -2a2 + 6b2 = 0 + -6b2 + 6b2
11ab + -2a2 + 6b2 = -6b2 + 6b2

Combine like terms: -6b2 + 6b2 = 0
11ab + -2a2 + 6b2 = 0

Factor a trinomial.
(-2a + -1b)(a + -6b) = 0

Subproblem 1
Set the factor '(-2a + -1b)' equal to zero and attempt to solve:

Simplifying
-2a + -1b = 0

Solving
-2a + -1b = 0

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

Add 'b' to each side of the equation.
-2a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
-2a + 0 = 0 + b
-2a = 0 + b
Remove the zero:
-2a = b

Divide each side by '-2'.
a = -0.5b

Simplifying
a = -0.5b
Subproblem 2
Set the factor '(a + -6b)' equal to zero and attempt to solve:

Simplifying
a + -6b = 0

Solving
a + -6b = 0

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

Add '6b' to each side of the equation.
a + -6b + 6b = 0 + 6b

Combine like terms: -6b + 6b = 0
a + 0 = 0 + 6b
a = 0 + 6b
Remove the zero:
a = 6b

Simplifying
a = 6b
Solution
a = {-0.5b, 6b}