(5C+30)(5C-30)=

Solution for (5C+30)(5C-30)= equation:

Simplifying
(5C + 30)(5C + -30) = 0

Reorder the terms:
(30 + 5C)(5C + -30) = 0

Reorder the terms:
(30 + 5C)(-30 + 5C) = 0

Multiply (30 + 5C) * (-30 + 5C)
(30(-30 + 5C) + 5C * (-30 + 5C)) = 0
((-30 * 30 + 5C * 30) + 5C * (-30 + 5C)) = 0
((-900 + 150C) + 5C * (-30 + 5C)) = 0
(-900 + 150C + (-30 * 5C + 5C * 5C)) = 0
(-900 + 150C + (-150C + 25C2)) = 0

Combine like terms: 150C + -150C = 0
(-900 + 0 + 25C2) = 0
(-900 + 25C2) = 0

Solving
-900 + 25C2 = 0

Solving for variable 'C'.

Move all terms containing C to the left, all other terms to the right.

Add '900' to each side of the equation.
-900 + 900 + 25C2 = 0 + 900

Combine like terms: -900 + 900 = 0
0 + 25C2 = 0 + 900
25C2 = 0 + 900

Combine like terms: 0 + 900 = 900
25C2 = 900

Divide each side by '25'.
C2 = 36

Simplifying
C2 = 36

Take the square root of each side:
C = {-6, 6}