(11x^2+7n)-(1n-7)=0

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Solution for (11x^2+7n)-(1n-7)=0 equation:


Simplifying
(11x2 + 7n) + -1(1n + -7) = 0

Reorder the terms:
(7n + 11x2) + -1(1n + -7) = 0

Remove parenthesis around (7n + 11x2)
7n + 11x2 + -1(1n + -7) = 0

Reorder the terms:
7n + 11x2 + -1(-7 + 1n) = 0
7n + 11x2 + (-7 * -1 + 1n * -1) = 0
7n + 11x2 + (7 + -1n) = 0

Reorder the terms:
7 + 7n + -1n + 11x2 = 0

Combine like terms: 7n + -1n = 6n
7 + 6n + 11x2 = 0

Solving
7 + 6n + 11x2 = 0

Solving for variable 'n'.

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

Add '-7' to each side of the equation.
7 + 6n + -7 + 11x2 = 0 + -7

Reorder the terms:
7 + -7 + 6n + 11x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6n + 11x2 = 0 + -7
6n + 11x2 = 0 + -7

Combine like terms: 0 + -7 = -7
6n + 11x2 = -7

Add '-11x2' to each side of the equation.
6n + 11x2 + -11x2 = -7 + -11x2

Combine like terms: 11x2 + -11x2 = 0
6n + 0 = -7 + -11x2
6n = -7 + -11x2

Divide each side by '6'.
n = -1.166666667 + -1.833333333x2

Simplifying
n = -1.166666667 + -1.833333333x2

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