(6a+7c)(6a-7c)=

Solution for (6a+7c)(6a-7c)= equation:

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

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

Reorder the terms:
((-42ac + 36a2) + 7c * (6a + -7c)) = 0
((-42ac + 36a2) + 7c * (6a + -7c)) = 0
(-42ac + 36a2 + (6a * 7c + -7c * 7c)) = 0
(-42ac + 36a2 + (42ac + -49c2)) = 0

Reorder the terms:
(-42ac + 42ac + 36a2 + -49c2) = 0

Combine like terms: -42ac + 42ac = 0
(0 + 36a2 + -49c2) = 0
(36a2 + -49c2) = 0

Solving
36a2 + -49c2 = 0

Solving for variable 'a'.

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

Add '49c2' to each side of the equation.
36a2 + -49c2 + 49c2 = 0 + 49c2

Combine like terms: -49c2 + 49c2 = 0
36a2 + 0 = 0 + 49c2
36a2 = 0 + 49c2
Remove the zero:
36a2 = 49c2

Divide each side by '36'.
a2 = 1.361111111c2

Simplifying
a2 = 1.361111111c2

Take the square root of each side:
a = {-1.166666667c, 1.166666667c}