14=0.5(n+6)x(n+6)-12

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Solution for 14=0.5(n+6)x(n+6)-12 equation: 


Simplifying
14 = 0.5(n + 6) * x(n + 6) + -12

Reorder the terms:
14 = 0.5(6 + n) * x(n + 6) + -12

Reorder the terms:
14 = 0.5(6 + n) * x(6 + n) + -12

Reorder the terms for easier multiplication:
14 = 0.5x(6 + n)(6 + n) + -12

Multiply (6 + n) * (6 + n)
14 = 0.5x(6(6 + n) + n(6 + n)) + -12
14 = 0.5x((6 * 6 + n * 6) + n(6 + n)) + -12
14 = 0.5x((36 + 6n) + n(6 + n)) + -12
14 = 0.5x(36 + 6n + (6 * n + n * n)) + -12
14 = 0.5x(36 + 6n + (6n + n2)) + -12

Combine like terms: 6n + 6n = 12n
14 = 0.5x(36 + 12n + n2) + -12
14 = (36 * 0.5x + 12n * 0.5x + n2 * 0.5x) + -12

Reorder the terms:
14 = (6nx + 0.5n2x + 18x) + -12
14 = (6nx + 0.5n2x + 18x) + -12

Reorder the terms:
14 = -12 + 6nx + 0.5n2x + 18x

Solving
14 = -12 + 6nx + 0.5n2x + 18x

Solving for variable 'n'.

Combine like terms: 14 + 12 = 26
26 + -6nx + -0.5n2x + -18x = -12 + 6nx + 0.5n2x + 18x + 12 + -6nx + -0.5n2x + -18x

Reorder the terms:
26 + -6nx + -0.5n2x + -18x = -12 + 12 + 6nx + -6nx + 0.5n2x + -0.5n2x + 18x + -18x

Combine like terms: -12 + 12 = 0
26 + -6nx + -0.5n2x + -18x = 0 + 6nx + -6nx + 0.5n2x + -0.5n2x + 18x + -18x
26 + -6nx + -0.5n2x + -18x = 6nx + -6nx + 0.5n2x + -0.5n2x + 18x + -18x

Combine like terms: 6nx + -6nx = 0
26 + -6nx + -0.5n2x + -18x = 0 + 0.5n2x + -0.5n2x + 18x + -18x
26 + -6nx + -0.5n2x + -18x = 0.5n2x + -0.5n2x + 18x + -18x

Combine like terms: 0.5n2x + -0.5n2x = 0.0
26 + -6nx + -0.5n2x + -18x = 0.0 + 18x + -18x
26 + -6nx + -0.5n2x + -18x = 18x + -18x

Combine like terms: 18x + -18x = 0
26 + -6nx + -0.5n2x + -18x = 0

The solution to this equation could not be determined.

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