-2(a+k)(a-k)=0

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Solution for -2(a+k)(a-k)=0 equation: 


Simplifying
-2(a + k)(a + -1k) = 0

Multiply (a + k) * (a + -1k)
-2(a(a + -1k) + k(a + -1k)) = 0
-2((a * a + -1k * a) + k(a + -1k)) = 0

Reorder the terms:
-2((-1ak + a2) + k(a + -1k)) = 0
-2((-1ak + a2) + k(a + -1k)) = 0
-2(-1ak + a2 + (a * k + -1k * k)) = 0
-2(-1ak + a2 + (ak + -1k2)) = 0

Reorder the terms:
-2(-1ak + ak + a2 + -1k2) = 0

Combine like terms: -1ak + ak = 0
-2(0 + a2 + -1k2) = 0
-2(a2 + -1k2) = 0
(a2 * -2 + -1k2 * -2) = 0
(-2a2 + 2k2) = 0

Solving
-2a2 + 2k2 = 0

Solving for variable 'a'.

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

Add '-2k2' to each side of the equation.
-2a2 + 2k2 + -2k2 = 0 + -2k2

Combine like terms: 2k2 + -2k2 = 0
-2a2 + 0 = 0 + -2k2
-2a2 = 0 + -2k2
Remove the zero:
-2a2 = -2k2

Divide each side by '-2'.
a2 = k2

Simplifying
a2 = k2

Take the square root of each side:
a = {-1k, k}

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