3x^2+x+x^2=x^2+x+42

Solution for 3x^2+x+x^2=x^2+x+42 equation:

Simplifying
3x2 + x + x2 = x2 + x + 42

Reorder the terms:
x + 3x2 + x2 = x2 + x + 42

Combine like terms: 3x2 + x2 = 4x2
x + 4x2 = x2 + x + 42

Reorder the terms:
x + 4x2 = 42 + x + x2

Add '-1x' to each side of the equation.
x + -1x + 4x2 = 42 + x + -1x + x2

Combine like terms: x + -1x = 0
0 + 4x2 = 42 + x + -1x + x2
4x2 = 42 + x + -1x + x2

Combine like terms: x + -1x = 0
4x2 = 42 + 0 + x2
4x2 = 42 + x2

Solving
4x2 = 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.
4x2 + -1x2 = 42 + x2 + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
3x2 = 42 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3x2 = 42 + 0
3x2 = 42

Divide each side by '3'.
x2 = 14

Simplifying
x2 = 14

Take the square root of each side:
x = {-3.741657387, 3.741657387}