49x^2-1=24

Solution for 49x^2-1=24 equation:

Simplifying
49x2 + -1 = 24

Reorder the terms:
-1 + 49x2 = 24

Solving
-1 + 49x2 = 24

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 49x2 = 24 + 1

Combine like terms: -1 + 1 = 0
0 + 49x2 = 24 + 1
49x2 = 24 + 1

Combine like terms: 24 + 1 = 25
49x2 = 25

Divide each side by '49'.
x2 = 0.5102040816

Simplifying
x2 = 0.5102040816

Take the square root of each side:
x = {-0.714285714, 0.714285714}