(99-n)*x^2+n*x+1=0

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Solution for (99-n)*x^2+n*x+1=0 equation:


Simplifying
(99 + -1n) * x2 + n * x + 1 = 0

Reorder the terms for easier multiplication:
x2(99 + -1n) + n * x + 1 = 0
(99 * x2 + -1n * x2) + n * x + 1 = 0

Reorder the terms:
(-1nx2 + 99x2) + n * x + 1 = 0
(-1nx2 + 99x2) + n * x + 1 = 0

Multiply n * x
-1nx2 + 99x2 + nx + 1 = 0

Reorder the terms:
1 + nx + -1nx2 + 99x2 = 0

Solving
1 + nx + -1nx2 + 99x2 = 0

Solving for variable 'n'.

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

Add '-1' to each side of the equation.
1 + nx + -1nx2 + -1 + 99x2 = 0 + -1

Reorder the terms:
1 + -1 + nx + -1nx2 + 99x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + nx + -1nx2 + 99x2 = 0 + -1
nx + -1nx2 + 99x2 = 0 + -1

Combine like terms: 0 + -1 = -1
nx + -1nx2 + 99x2 = -1

Add '-99x2' to each side of the equation.
nx + -1nx2 + 99x2 + -99x2 = -1 + -99x2

Combine like terms: 99x2 + -99x2 = 0
nx + -1nx2 + 0 = -1 + -99x2
nx + -1nx2 = -1 + -99x2

Reorder the terms:
1 + nx + -1nx2 + 99x2 = -1 + -99x2 + 1 + 99x2

Reorder the terms:
1 + nx + -1nx2 + 99x2 = -1 + 1 + -99x2 + 99x2

Combine like terms: -1 + 1 = 0
1 + nx + -1nx2 + 99x2 = 0 + -99x2 + 99x2
1 + nx + -1nx2 + 99x2 = -99x2 + 99x2

Combine like terms: -99x2 + 99x2 = 0
1 + nx + -1nx2 + 99x2 = 0

The solution to this equation could not be determined.

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