(x^2-10)+(12n-4)=90

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Solution for (x^2-10)+(12n-4)=90 equation:


Simplifying
(x2 + -10) + (12n + -4) = 90

Reorder the terms:
(-10 + x2) + (12n + -4) = 90

Remove parenthesis around (-10 + x2)
-10 + x2 + (12n + -4) = 90

Reorder the terms:
-10 + x2 + (-4 + 12n) = 90

Remove parenthesis around (-4 + 12n)
-10 + x2 + -4 + 12n = 90

Reorder the terms:
-10 + -4 + 12n + x2 = 90

Combine like terms: -10 + -4 = -14
-14 + 12n + x2 = 90

Solving
-14 + 12n + x2 = 90

Solving for variable 'n'.

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

Add '14' to each side of the equation.
-14 + 12n + 14 + x2 = 90 + 14

Reorder the terms:
-14 + 14 + 12n + x2 = 90 + 14

Combine like terms: -14 + 14 = 0
0 + 12n + x2 = 90 + 14
12n + x2 = 90 + 14

Combine like terms: 90 + 14 = 104
12n + x2 = 104

Add '-1x2' to each side of the equation.
12n + x2 + -1x2 = 104 + -1x2

Combine like terms: x2 + -1x2 = 0
12n + 0 = 104 + -1x2
12n = 104 + -1x2

Divide each side by '12'.
n = 8.666666667 + -0.08333333333x2

Simplifying
n = 8.666666667 + -0.08333333333x2

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