2n^2-8n=-8

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Solution for 2n^2-8n=-8 equation:


Simplifying
2n2 + -8n = -8

Reorder the terms:
-8n + 2n2 = -8

Solving
-8n + 2n2 = -8

Solving for variable 'n'.

Reorder the terms:
8 + -8n + 2n2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + -8n + 2n2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -4n + n2) = 0

Factor a trinomial.
2((2 + -1n)(2 + -1n)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2

Subproblem 2

Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2

Solution

n = {2, 2}

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