x^2+c^2=19c^2

Solution for x^2+c^2=19c^2 equation:

Simplifying
x2 + c2 = 19c2

Reorder the terms:
c2 + x2 = 19c2

Solving
c2 + x2 = 19c2

Solving for variable 'c'.

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

Add '-19c2' to each side of the equation.
c2 + -19c2 + x2 = 19c2 + -19c2

Combine like terms: c2 + -19c2 = -18c2
-18c2 + x2 = 19c2 + -19c2

Combine like terms: 19c2 + -19c2 = 0
-18c2 + x2 = 0

Add '-1x2' to each side of the equation.
-18c2 + x2 + -1x2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-18c2 + 0 = 0 + -1x2
-18c2 = 0 + -1x2
Remove the zero:
-18c2 = -1x2

Divide each side by '-18'.
c2 = 0.05555555556x2

Simplifying
c2 = 0.05555555556x2

Take the square root of each side:
c = {-0.23570226x, 0.23570226x}