2n^2+n-7=-7

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Solution for 2n^2+n-7=-7 equation: 


Simplifying
2n2 + n + -7 = -7

Reorder the terms:
-7 + n + 2n2 = -7

Add '7' to each side of the equation.
-7 + n + 7 + 2n2 = -7 + 7

Reorder the terms:
-7 + 7 + n + 2n2 = -7 + 7

Combine like terms: -7 + 7 = 0
0 + n + 2n2 = -7 + 7
n + 2n2 = -7 + 7

Combine like terms: -7 + 7 = 0
n + 2n2 = 0

Solving
n + 2n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(1 + 2n) = 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 '(1 + 2n)' equal to zero and attempt to solve:

Simplifying
1 + 2n = 0

Solving
1 + 2n = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2n = 0 + -1
2n = 0 + -1

Combine like terms: 0 + -1 = -1
2n = -1

Divide each side by '2'.
n = -0.5

Simplifying
n = -0.5
Solution
n = {0, -0.5}

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