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Simplifying
10(10) + 3(3) = c2
Multiply 10 * 10
100 + 3(3) = c2
Multiply 3 * 3
100 + 9 = c2
Combine like terms: 100 + 9 = 109
109 = c2
Solving
109 = 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.
109 + -1c2 = c2 + -1c2
Combine like terms: c2 + -1c2 = 0
109 + -1c2 = 0
Add '-109' to each side of the equation.
109 + -109 + -1c2 = 0 + -109
Combine like terms: 109 + -109 = 0
0 + -1c2 = 0 + -109
-1c2 = 0 + -109
Combine like terms: 0 + -109 = -109
-1c2 = -109
Divide each side by '-1'.
c2 = 109
Simplifying
c2 = 109
Take the square root of each side:
c = {-10.440306509, 10.440306509}
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