3x^2+1=7x^2-1

Solution for 3x^2+1=7x^2-1 equation:

Simplifying
3x2 + 1 = 7x2 + -1

Reorder the terms:
1 + 3x2 = 7x2 + -1

Reorder the terms:
1 + 3x2 = -1 + 7x2

Solving
1 + 3x2 = -1 + 7x2

Solving for variable 'x'.

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

Add '-7x2' to each side of the equation.
1 + 3x2 + -7x2 = -1 + 7x2 + -7x2

Combine like terms: 3x2 + -7x2 = -4x2
1 + -4x2 = -1 + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
1 + -4x2 = -1 + 0
1 + -4x2 = -1

Add '-1' to each side of the equation.
1 + -1 + -4x2 = -1 + -1

Combine like terms: 1 + -1 = 0
0 + -4x2 = -1 + -1
-4x2 = -1 + -1

Combine like terms: -1 + -1 = -2
-4x2 = -2

Divide each side by '-4'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}