30(30)+40(40)=c^2

Solution for 30(30)+40(40)=c^2 equation:

Simplifying
30(30) + 40(40) = c2

Multiply 30 * 30
900 + 40(40) = c2

Multiply 40 * 40
900 + 1600 = c2

Combine like terms: 900 + 1600 = 2500
2500 = c2

Solving
2500 = 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.
2500 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
2500 + -1c2 = 0

Add '-2500' to each side of the equation.
2500 + -2500 + -1c2 = 0 + -2500

Combine like terms: 2500 + -2500 = 0
0 + -1c2 = 0 + -2500
-1c2 = 0 + -2500

Combine like terms: 0 + -2500 = -2500
-1c2 = -2500

Divide each side by '-1'.
c2 = 2500

Simplifying
c2 = 2500

Take the square root of each side:
c = {-50, 50}