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Simplifying
(3a + -6b)(3a + 6b) = 0
Multiply (3a + -6b) * (3a + 6b)
(3a * (3a + 6b) + -6b * (3a + 6b)) = 0
((3a * 3a + 6b * 3a) + -6b * (3a + 6b)) = 0
Reorder the terms:
((18ab + 9a2) + -6b * (3a + 6b)) = 0
((18ab + 9a2) + -6b * (3a + 6b)) = 0
(18ab + 9a2 + (3a * -6b + 6b * -6b)) = 0
(18ab + 9a2 + (-18ab + -36b2)) = 0
Reorder the terms:
(18ab + -18ab + 9a2 + -36b2) = 0
Combine like terms: 18ab + -18ab = 0
(0 + 9a2 + -36b2) = 0
(9a2 + -36b2) = 0
Solving
9a2 + -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.
9a2 + -36b2 + 36b2 = 0 + 36b2
Combine like terms: -36b2 + 36b2 = 0
9a2 + 0 = 0 + 36b2
9a2 = 0 + 36b2
Remove the zero:
9a2 = 36b2
Divide each side by '9'.
a2 = 4b2
Simplifying
a2 = 4b2
Take the square root of each side:
a = {-2b, 2b}
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