2x^2=x^2+42

Solution for 2x^2=x^2+42 equation:

Simplifying
2x2 = x2 + 42

Reorder the terms:
2x2 = 42 + x2

Solving
2x2 = 42 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
2x2 + -1x2 = 42 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
1x2 = 42 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1x2 = 42 + 0
1x2 = 42

Divide each side by '1'.
x2 = 42

Simplifying
x2 = 42

Take the square root of each side:
x = {-6.480740698, 6.480740698}