((6.7)(6.7))+((14)(14))=((c)(c))

Solution for ((6.7)(6.7))+((14)(14))=((c)(c)) equation:

Simplifying
((6.7)(6.7)) + ((14)(14)) = ((c)(c))

Multiply 6.7 * 6.7
(44.89) + ((14)(14)) = ((c)(c))
44.89 + ((14)(14)) = ((c)(c))

Multiply 14 * 14
44.89 + (196) = ((c)(c))
44.89 + 196 = ((c)(c))

Combine like terms: 44.89 + 196 = 240.89
240.89 = ((c)(c))

Multiply c * c
240.89 = (c2)
240.89 = c2

Solving
240.89 = 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.
240.89 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
240.89 + -1c2 = 0

Add '-240.89' to each side of the equation.
240.89 + -240.89 + -1c2 = 0 + -240.89

Combine like terms: 240.89 + -240.89 = 0.00
0.00 + -1c2 = 0 + -240.89
-1c2 = 0 + -240.89

Combine like terms: 0 + -240.89 = -240.89
-1c2 = -240.89

Divide each side by '-1'.
c2 = 240.89

Simplifying
c2 = 240.89

Take the square root of each side:
c = {-15.52063143, 15.52063143}