3x^2-42=5x^2

Solution for 3x^2-42=5x^2 equation:

Simplifying
3x2 + -42 = 5x2

Reorder the terms:
-42 + 3x2 = 5x2

Solving
-42 + 3x2 = 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
-42 + 3x2 + -5x2 = 5x2 + -5x2

Combine like terms: 3x2 + -5x2 = -2x2
-42 + -2x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-42 + -2x2 = 0

Add '42' to each side of the equation.
-42 + 42 + -2x2 = 0 + 42

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

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

Divide each side by '-2'.
x2 = -21

Simplifying
x2 = -21

Reorder the terms:
21 + x2 = -21 + 21

Combine like terms: -21 + 21 = 0
21 + x2 = 0

The solution to this equation could not be determined.