42x^2-x^2-1=0

Solution for 42x^2-x^2-1=0 equation:

Simplifying
42x2 + -1x2 + -1 = 0

Reorder the terms:
-1 + 42x2 + -1x2 = 0

Combine like terms: 42x2 + -1x2 = 41x2
-1 + 41x2 = 0

Solving
-1 + 41x2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 41x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 41x2 = 0 + 1
41x2 = 0 + 1

Combine like terms: 0 + 1 = 1
41x2 = 1

Divide each side by '41'.
x2 = 0.0243902439

Simplifying
x2 = 0.0243902439

Take the square root of each side:
x = {-0.156173762, 0.156173762}