(2a-5b)(6a-5b)=

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Solution for (2a-5b)(6a-5b)= equation: 


Simplifying
(2a + -5b)(6a + -5b) = 0

Multiply (2a + -5b) * (6a + -5b)
(2a * (6a + -5b) + -5b * (6a + -5b)) = 0
((6a * 2a + -5b * 2a) + -5b * (6a + -5b)) = 0

Reorder the terms:
((-10ab + 12a2) + -5b * (6a + -5b)) = 0
((-10ab + 12a2) + -5b * (6a + -5b)) = 0
(-10ab + 12a2 + (6a * -5b + -5b * -5b)) = 0
(-10ab + 12a2 + (-30ab + 25b2)) = 0

Reorder the terms:
(-10ab + -30ab + 12a2 + 25b2) = 0

Combine like terms: -10ab + -30ab = -40ab
(-40ab + 12a2 + 25b2) = 0

Solving
-40ab + 12a2 + 25b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + -5b)(6a + -5b) = 0


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

Simplifying
2a + -5b = 0

Solving
2a + -5b = 0

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

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

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

Divide each side by '2'.
a = 2.5b

Simplifying
a = 2.5b

Subproblem 2
Set the factor '(6a + -5b)' equal to zero and attempt to solve:

Simplifying
6a + -5b = 0

Solving
6a + -5b = 0

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

Add '5b' to each side of the equation.
6a + -5b + 5b = 0 + 5b

Combine like terms: -5b + 5b = 0
6a + 0 = 0 + 5b
6a = 0 + 5b
Remove the zero:
6a = 5b

Divide each side by '6'.
a = 0.8333333333b

Simplifying
a = 0.8333333333b
Solution
a = {2.5b, 0.8333333333b}

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