(3a-b)(-5a-2b)=

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Solution for (3a-b)(-5a-2b)= equation: 


Simplifying
(3a + -1b)(-5a + -2b) = 0

Multiply (3a + -1b) * (-5a + -2b)
(3a * (-5a + -2b) + -1b * (-5a + -2b)) = 0
((-5a * 3a + -2b * 3a) + -1b * (-5a + -2b)) = 0

Reorder the terms:
((-6ab + -15a2) + -1b * (-5a + -2b)) = 0
((-6ab + -15a2) + -1b * (-5a + -2b)) = 0
(-6ab + -15a2 + (-5a * -1b + -2b * -1b)) = 0
(-6ab + -15a2 + (5ab + 2b2)) = 0

Reorder the terms:
(-6ab + 5ab + -15a2 + 2b2) = 0

Combine like terms: -6ab + 5ab = -1ab
(-1ab + -15a2 + 2b2) = 0

Solving
-1ab + -15a2 + 2b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5a + -2b)(3a + -1b) = 0


Subproblem 1
Set the factor '(-5a + -2b)' equal to zero and attempt to solve:

Simplifying
-5a + -2b = 0

Solving
-5a + -2b = 0

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

Add '2b' to each side of the equation.
-5a + -2b + 2b = 0 + 2b

Combine like terms: -2b + 2b = 0
-5a + 0 = 0 + 2b
-5a = 0 + 2b
Remove the zero:
-5a = 2b

Divide each side by '-5'.
a = -0.4b

Simplifying
a = -0.4b

Subproblem 2
Set the factor '(3a + -1b)' equal to zero and attempt to solve:

Simplifying
3a + -1b = 0

Solving
3a + -1b = 0

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

Add 'b' to each side of the equation.
3a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
3a + 0 = 0 + b
3a = 0 + b
Remove the zero:
3a = b

Divide each side by '3'.
a = 0.3333333333b

Simplifying
a = 0.3333333333b
Solution
a = {-0.4b, 0.3333333333b}

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