3x^2+10=x^2+42

Solution for 3x^2+10=x^2+42 equation:

Simplifying
3x2 + 10 = x2 + 42

Reorder the terms:
10 + 3x2 = x2 + 42

Reorder the terms:
10 + 3x2 = 42 + x2

Solving
10 + 3x2 = 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.
10 + 3x2 + -1x2 = 42 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
10 + 2x2 = 42 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
10 + 2x2 = 42 + 0
10 + 2x2 = 42

Add '-10' to each side of the equation.
10 + -10 + 2x2 = 42 + -10

Combine like terms: 10 + -10 = 0
0 + 2x2 = 42 + -10
2x2 = 42 + -10

Combine like terms: 42 + -10 = 32
2x2 = 32

Divide each side by '2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}