n^2-2n-5=n^2+3n-4

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Solution for n^2-2n-5=n^2+3n-4 equation:


Simplifying
n2 + -2n + -5 = n2 + 3n + -4

Reorder the terms:
-5 + -2n + n2 = n2 + 3n + -4

Reorder the terms:
-5 + -2n + n2 = -4 + 3n + n2

Add '-1n2' to each side of the equation.
-5 + -2n + n2 + -1n2 = -4 + 3n + n2 + -1n2

Combine like terms: n2 + -1n2 = 0
-5 + -2n + 0 = -4 + 3n + n2 + -1n2
-5 + -2n = -4 + 3n + n2 + -1n2

Combine like terms: n2 + -1n2 = 0
-5 + -2n = -4 + 3n + 0
-5 + -2n = -4 + 3n

Solving
-5 + -2n = -4 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-5 + -2n + -3n = -4 + 3n + -3n

Combine like terms: -2n + -3n = -5n
-5 + -5n = -4 + 3n + -3n

Combine like terms: 3n + -3n = 0
-5 + -5n = -4 + 0
-5 + -5n = -4

Add '5' to each side of the equation.
-5 + 5 + -5n = -4 + 5

Combine like terms: -5 + 5 = 0
0 + -5n = -4 + 5
-5n = -4 + 5

Combine like terms: -4 + 5 = 1
-5n = 1

Divide each side by '-5'.
n = -0.2

Simplifying
n = -0.2

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