2x^2-5n-42=0

Solution for 2x^2-5n-42=0 equation:

Simplifying
2x2 + -5n + -42 = 0

Reorder the terms:
-42 + -5n + 2x2 = 0

Solving
-42 + -5n + 2x2 = 0

Solving for variable 'n'.

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

Add '42' to each side of the equation.
-42 + -5n + 42 + 2x2 = 0 + 42

Reorder the terms:
-42 + 42 + -5n + 2x2 = 0 + 42

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

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

Add '-2x2' to each side of the equation.
-5n + 2x2 + -2x2 = 42 + -2x2

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

Divide each side by '-5'.
n = -8.4 + 0.4x2

Simplifying
n = -8.4 + 0.4x2