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

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

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

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

Reorder the terms:
((30ab + 25a2) + -6b * (5a + 6b)) = 0
((30ab + 25a2) + -6b * (5a + 6b)) = 0
(30ab + 25a2 + (5a * -6b + 6b * -6b)) = 0
(30ab + 25a2 + (-30ab + -36b2)) = 0

Reorder the terms:
(30ab + -30ab + 25a2 + -36b2) = 0

Combine like terms: 30ab + -30ab = 0
(0 + 25a2 + -36b2) = 0
(25a2 + -36b2) = 0

Solving
25a2 + -36b2 = 0

Solving for variable 'a'.

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

Add '36b2' to each side of the equation.
25a2 + -36b2 + 36b2 = 0 + 36b2

Combine like terms: -36b2 + 36b2 = 0
25a2 + 0 = 0 + 36b2
25a2 = 0 + 36b2
Remove the zero:
25a2 = 36b2

Divide each side by '25'.
a2 = 1.44b2

Simplifying
a2 = 1.44b2

Take the square root of each side:
a = {-1.2b, 1.2b}