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Simplifying
12 * 12 + 10 * 10 = c2
Multiply 12 * 12
144 + 10 * 10 = c2
Multiply 10 * 10
144 + 100 = c2
Combine like terms: 144 + 100 = 244
244 = c2
Solving
244 = c2
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-1c2' to each side of the equation.
244 + -1c2 = c2 + -1c2
Combine like terms: c2 + -1c2 = 0
244 + -1c2 = 0
Add '-244' to each side of the equation.
244 + -244 + -1c2 = 0 + -244
Combine like terms: 244 + -244 = 0
0 + -1c2 = 0 + -244
-1c2 = 0 + -244
Combine like terms: 0 + -244 = -244
-1c2 = -244
Divide each side by '-1'.
c2 = 244
Simplifying
c2 = 244
Take the square root of each side:
c = {-15.620499352, 15.620499352}
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