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Simplifying
(2a + 4b)(2a + -4b) = 0
Multiply (2a + 4b) * (2a + -4b)
(2a * (2a + -4b) + 4b * (2a + -4b)) = 0
((2a * 2a + -4b * 2a) + 4b * (2a + -4b)) = 0
Reorder the terms:
((-8ab + 4a2) + 4b * (2a + -4b)) = 0
((-8ab + 4a2) + 4b * (2a + -4b)) = 0
(-8ab + 4a2 + (2a * 4b + -4b * 4b)) = 0
(-8ab + 4a2 + (8ab + -16b2)) = 0
Reorder the terms:
(-8ab + 8ab + 4a2 + -16b2) = 0
Combine like terms: -8ab + 8ab = 0
(0 + 4a2 + -16b2) = 0
(4a2 + -16b2) = 0
Solving
4a2 + -16b2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '16b2' to each side of the equation.
4a2 + -16b2 + 16b2 = 0 + 16b2
Combine like terms: -16b2 + 16b2 = 0
4a2 + 0 = 0 + 16b2
4a2 = 0 + 16b2
Remove the zero:
4a2 = 16b2
Divide each side by '4'.
a2 = 4b2
Simplifying
a2 = 4b2
Take the square root of each side:
a = {-2b, 2b}
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