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Simplifying
-200b2 + 2a2 = 0
Reorder the terms:
2a2 + -200b2 = 0
Solving
2a2 + -200b2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '200b2' to each side of the equation.
2a2 + -200b2 + 200b2 = 0 + 200b2
Combine like terms: -200b2 + 200b2 = 0
2a2 + 0 = 0 + 200b2
2a2 = 0 + 200b2
Remove the zero:
2a2 = 200b2
Divide each side by '2'.
a2 = 100b2
Simplifying
a2 = 100b2
Take the square root of each side:
a = {-10b, 10b}
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