7x^2-343=0

Solution for 7x^2-343=0 equation:

Simplifying
7x2 + -343 = 0

Reorder the terms:
-343 + 7x2 = 0

Solving
-343 + 7x2 = 0

Solving for variable 'x'.

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

Add '343' to each side of the equation.
-343 + 343 + 7x2 = 0 + 343

Combine like terms: -343 + 343 = 0
0 + 7x2 = 0 + 343
7x2 = 0 + 343

Combine like terms: 0 + 343 = 343
7x2 = 343

Divide each side by '7'.
x2 = 49

Simplifying
x2 = 49

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