(12a-28b)(2a-0.75b)=

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Solution for (12a-28b)(2a-0.75b)= equation: 


Simplifying
(12a + -28b)(2a + -0.75b) = 0

Multiply (12a + -28b) * (2a + -0.75b)
(12a * (2a + -0.75b) + -28b * (2a + -0.75b)) = 0
((2a * 12a + -0.75b * 12a) + -28b * (2a + -0.75b)) = 0

Reorder the terms:
((-9ab + 24a2) + -28b * (2a + -0.75b)) = 0
((-9ab + 24a2) + -28b * (2a + -0.75b)) = 0
(-9ab + 24a2 + (2a * -28b + -0.75b * -28b)) = 0
(-9ab + 24a2 + (-56ab + 21b2)) = 0

Reorder the terms:
(-9ab + -56ab + 24a2 + 21b2) = 0

Combine like terms: -9ab + -56ab = -65ab
(-65ab + 24a2 + 21b2) = 0

Solving
-65ab + 24a2 + 21b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3a + -7b)(8a + -3b) = 0


Subproblem 1
Set the factor '(3a + -7b)' equal to zero and attempt to solve:

Simplifying
3a + -7b = 0

Solving
3a + -7b = 0

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

Add '7b' to each side of the equation.
3a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
3a + 0 = 0 + 7b
3a = 0 + 7b
Remove the zero:
3a = 7b

Divide each side by '3'.
a = 2.333333333b

Simplifying
a = 2.333333333b

Subproblem 2
Set the factor '(8a + -3b)' equal to zero and attempt to solve:

Simplifying
8a + -3b = 0

Solving
8a + -3b = 0

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

Add '3b' to each side of the equation.
8a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
8a + 0 = 0 + 3b
8a = 0 + 3b
Remove the zero:
8a = 3b

Divide each side by '8'.
a = 0.375b

Simplifying
a = 0.375b
Solution
a = {2.333333333b, 0.375b}

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