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Simplifying
(2a + 6b)(2a + -6b) = 0
Multiply (2a + 6b) * (2a + -6b)
(2a * (2a + -6b) + 6b * (2a + -6b)) = 0
((2a * 2a + -6b * 2a) + 6b * (2a + -6b)) = 0
Reorder the terms:
((-12ab + 4a2) + 6b * (2a + -6b)) = 0
((-12ab + 4a2) + 6b * (2a + -6b)) = 0
(-12ab + 4a2 + (2a * 6b + -6b * 6b)) = 0
(-12ab + 4a2 + (12ab + -36b2)) = 0
Reorder the terms:
(-12ab + 12ab + 4a2 + -36b2) = 0
Combine like terms: -12ab + 12ab = 0
(0 + 4a2 + -36b2) = 0
(4a2 + -36b2) = 0
Solving
4a2 + -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.
4a2 + -36b2 + 36b2 = 0 + 36b2
Combine like terms: -36b2 + 36b2 = 0
4a2 + 0 = 0 + 36b2
4a2 = 0 + 36b2
Remove the zero:
4a2 = 36b2
Divide each side by '4'.
a2 = 9b2
Simplifying
a2 = 9b2
Take the square root of each side:
a = {-3b, 3b}
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