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Simplifying
-6a2 + 8c2 + 2a2 + 11c2 = 0
Reorder the terms:
-6a2 + 2a2 + 8c2 + 11c2 = 0
Combine like terms: -6a2 + 2a2 = -4a2
-4a2 + 8c2 + 11c2 = 0
Combine like terms: 8c2 + 11c2 = 19c2
-4a2 + 19c2 = 0
Solving
-4a2 + 19c2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-19c2' to each side of the equation.
-4a2 + 19c2 + -19c2 = 0 + -19c2
Combine like terms: 19c2 + -19c2 = 0
-4a2 + 0 = 0 + -19c2
-4a2 = 0 + -19c2
Remove the zero:
-4a2 = -19c2
Divide each side by '-4'.
a2 = 4.75c2
Simplifying
a2 = 4.75c2
Take the square root of each side:
a = {-2.179449472c, 2.179449472c}
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