7x^2-48-7=0

Solution for 7x^2-48-7=0 equation:

Simplifying
7x2 + -48 + -7 = 0

Reorder the terms:
-48 + -7 + 7x2 = 0

Combine like terms: -48 + -7 = -55
-55 + 7x2 = 0

Solving
-55 + 7x2 = 0

Solving for variable 'x'.

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

Add '55' to each side of the equation.
-55 + 55 + 7x2 = 0 + 55

Combine like terms: -55 + 55 = 0
0 + 7x2 = 0 + 55
7x2 = 0 + 55

Combine like terms: 0 + 55 = 55
7x2 = 55

Divide each side by '7'.
x2 = 7.857142857

Simplifying
x2 = 7.857142857

Take the square root of each side:
x = {-2.803059553, 2.803059553}