196x^2+196=200x^2

Solution for 196x^2+196=200x^2 equation:

Simplifying
196x2 + 196 = 200x2

Reorder the terms:
196 + 196x2 = 200x2

Solving
196 + 196x2 = 200x2

Solving for variable 'x'.

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

Add '-200x2' to each side of the equation.
196 + 196x2 + -200x2 = 200x2 + -200x2

Combine like terms: 196x2 + -200x2 = -4x2
196 + -4x2 = 200x2 + -200x2

Combine like terms: 200x2 + -200x2 = 0
196 + -4x2 = 0

Add '-196' to each side of the equation.
196 + -196 + -4x2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + -4x2 = 0 + -196
-4x2 = 0 + -196

Combine like terms: 0 + -196 = -196
-4x2 = -196

Divide each side by '-4'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}