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Simplifying
0 = (2a + -2b)(2a + 2b)
Multiply (2a + -2b) * (2a + 2b)
0 = (2a * (2a + 2b) + -2b * (2a + 2b))
0 = ((2a * 2a + 2b * 2a) + -2b * (2a + 2b))
Reorder the terms:
0 = ((4ab + 4a2) + -2b * (2a + 2b))
0 = ((4ab + 4a2) + -2b * (2a + 2b))
0 = (4ab + 4a2 + (2a * -2b + 2b * -2b))
0 = (4ab + 4a2 + (-4ab + -4b2))
Reorder the terms:
0 = (4ab + -4ab + 4a2 + -4b2)
Combine like terms: 4ab + -4ab = 0
0 = (0 + 4a2 + -4b2)
0 = (4a2 + -4b2)
Solving
0 = 4a2 + -4b2
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-4a2' to each side of the equation.
0 + -4a2 = 4a2 + -4a2 + -4b2
Remove the zero:
-4a2 = 4a2 + -4a2 + -4b2
Combine like terms: 4a2 + -4a2 = 0
-4a2 = 0 + -4b2
-4a2 = -4b2
Divide each side by '-4'.
a2 = b2
Simplifying
a2 = b2
Take the square root of each side:
a = {-1b, b}
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