(6a-7b)(6a-7b)=

Solution for (6a-7b)(6a-7b)= equation:

Simplifying
(6a + -7b)(6a + -7b) = 0

Multiply (6a + -7b) * (6a + -7b)
(6a * (6a + -7b) + -7b * (6a + -7b)) = 0
((6a * 6a + -7b * 6a) + -7b * (6a + -7b)) = 0

Reorder the terms:
((-42ab + 36a2) + -7b * (6a + -7b)) = 0
((-42ab + 36a2) + -7b * (6a + -7b)) = 0
(-42ab + 36a2 + (6a * -7b + -7b * -7b)) = 0
(-42ab + 36a2 + (-42ab + 49b2)) = 0

Reorder the terms:
(-42ab + -42ab + 36a2 + 49b2) = 0

Combine like terms: -42ab + -42ab = -84ab
(-84ab + 36a2 + 49b2) = 0

Solving
-84ab + 36a2 + 49b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(6a + -7b)(6a + -7b) = 0

Subproblem 1
Set the factor '(6a + -7b)' equal to zero and attempt to solve:

Simplifying
6a + -7b = 0

Solving
6a + -7b = 0

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

Add '7b' to each side of the equation.
6a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
6a + 0 = 0 + 7b
6a = 0 + 7b
Remove the zero:
6a = 7b

Divide each side by '6'.
a = 1.166666667b

Simplifying
a = 1.166666667b
Subproblem 2
Set the factor '(6a + -7b)' equal to zero and attempt to solve:

Simplifying
6a + -7b = 0

Solving
6a + -7b = 0

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

Add '7b' to each side of the equation.
6a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
6a + 0 = 0 + 7b
6a = 0 + 7b
Remove the zero:
6a = 7b

Divide each side by '6'.
a = 1.166666667b

Simplifying
a = 1.166666667b
Solution
a = {1.166666667b, 1.166666667b}