7x^2-49=3x^2

Solution for 7x^2-49=3x^2 equation:

Simplifying
7x2 + -49 = 3x2

Reorder the terms:
-49 + 7x2 = 3x2

Solving
-49 + 7x2 = 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-49 + 7x2 + -3x2 = 3x2 + -3x2

Combine like terms: 7x2 + -3x2 = 4x2
-49 + 4x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-49 + 4x2 = 0

Add '49' to each side of the equation.
-49 + 49 + 4x2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4x2 = 0 + 49
4x2 = 0 + 49

Combine like terms: 0 + 49 = 49
4x2 = 49

Divide each side by '4'.
x2 = 12.25

Simplifying
x2 = 12.25

Take the square root of each side:
x = {-3.5, 3.5}