3n^2+8n+7=7

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Solution for 3n^2+8n+7=7 equation: 


Simplifying
3n2 + 8n + 7 = 7

Reorder the terms:
7 + 8n + 3n2 = 7

Add '-7' to each side of the equation.
7 + 8n + -7 + 3n2 = 7 + -7

Reorder the terms:
7 + -7 + 8n + 3n2 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 8n + 3n2 = 7 + -7
8n + 3n2 = 7 + -7

Combine like terms: 7 + -7 = 0
8n + 3n2 = 0

Solving
8n + 3n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(8 + 3n) = 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 '(8 + 3n)' equal to zero and attempt to solve:

Simplifying
8 + 3n = 0

Solving
8 + 3n = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3n = 0 + -8
3n = 0 + -8

Combine like terms: 0 + -8 = -8
3n = -8

Divide each side by '3'.
n = -2.666666667

Simplifying
n = -2.666666667
Solution
n = {0, -2.666666667}

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