8n^2-24n+4=4

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Solution for 8n^2-24n+4=4 equation:


Simplifying
8n2 + -24n + 4 = 4

Reorder the terms:
4 + -24n + 8n2 = 4

Add '-4' to each side of the equation.
4 + -24n + -4 + 8n2 = 4 + -4

Reorder the terms:
4 + -4 + -24n + 8n2 = 4 + -4

Combine like terms: 4 + -4 = 0
0 + -24n + 8n2 = 4 + -4
-24n + 8n2 = 4 + -4

Combine like terms: 4 + -4 = 0
-24n + 8n2 = 0

Solving
-24n + 8n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8n'.
8n(-3 + n) = 0

Ignore the factor 8.

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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