49x^2-1000=0

Solution for 49x^2-1000=0 equation:

Simplifying
49x2 + -1000 = 0

Reorder the terms:
-1000 + 49x2 = 0

Solving
-1000 + 49x2 = 0

Solving for variable 'x'.

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

Add '1000' to each side of the equation.
-1000 + 1000 + 49x2 = 0 + 1000

Combine like terms: -1000 + 1000 = 0
0 + 49x2 = 0 + 1000
49x2 = 0 + 1000

Combine like terms: 0 + 1000 = 1000
49x2 = 1000

Divide each side by '49'.
x2 = 20.40816327

Simplifying
x2 = 20.40816327

Take the square root of each side:
x = {-4.517539515, 4.517539515}