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Simplifying
12 * 12 + -9 * 9 = c * c
Multiply 12 * 12
144 + -9 * 9 = c * c
Multiply -9 * 9
144 + -81 = c * c
Combine like terms: 144 + -81 = 63
63 = c * c
Multiply c * c
63 = c2
Solving
63 = 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.
63 + -1c2 = c2 + -1c2
Combine like terms: c2 + -1c2 = 0
63 + -1c2 = 0
Add '-63' to each side of the equation.
63 + -63 + -1c2 = 0 + -63
Combine like terms: 63 + -63 = 0
0 + -1c2 = 0 + -63
-1c2 = 0 + -63
Combine like terms: 0 + -63 = -63
-1c2 = -63
Divide each side by '-1'.
c2 = 63
Simplifying
c2 = 63
Take the square root of each side:
c = {-7.937253933, 7.937253933}
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