7r^2-343=

Solution for 7r^2-343= equation:

Simplifying
7r2 + -343 = 0

Reorder the terms:
-343 + 7r2 = 0

Solving
-343 + 7r2 = 0

Solving for variable 'r'.

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

Add '343' to each side of the equation.
-343 + 343 + 7r2 = 0 + 343

Combine like terms: -343 + 343 = 0
0 + 7r2 = 0 + 343
7r2 = 0 + 343

Combine like terms: 0 + 343 = 343
7r2 = 343

Divide each side by '7'.
r2 = 49

Simplifying
r2 = 49

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