n^2-3n-4=-4

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


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

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

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

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

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

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

Solving
-3n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3 + n) = 0

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

Set the factor '(-3 + n)' equal to zero and attempt to solve: Simplifying -3 + n = 0 Solving -3 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + n = 0 + 3 n = 0 + 3 Combine like terms: 0 + 3 = 3 n = 3 Simplifying n = 3

Solution

n = {0, 3}

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