7x^2-24+1=0

Solution for 7x^2-24+1=0 equation:

Simplifying
7x2 + -24 + 1 = 0

Reorder the terms:
-24 + 1 + 7x2 = 0

Combine like terms: -24 + 1 = -23
-23 + 7x2 = 0

Solving
-23 + 7x2 = 0

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 7x2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 7x2 = 0 + 23
7x2 = 0 + 23

Combine like terms: 0 + 23 = 23
7x2 = 23

Divide each side by '7'.
x2 = 3.285714286

Simplifying
x2 = 3.285714286

Take the square root of each side:
x = {-1.812653934, 1.812653934}