(7P+1)X^2+(5P-1)X+P=1

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Solution for (7P+1)X^2+(5P-1)X+P=1 equation: 


Simplifying
(7P + 1) * X2 + (5P + -1) * X + P = 1

Reorder the terms:
(1 + 7P) * X2 + (5P + -1) * X + P = 1

Reorder the terms for easier multiplication:
X2(1 + 7P) + (5P + -1) * X + P = 1
(1 * X2 + 7P * X2) + (5P + -1) * X + P = 1

Reorder the terms:
(7PX2 + 1X2) + (5P + -1) * X + P = 1
(7PX2 + 1X2) + (5P + -1) * X + P = 1

Reorder the terms:
7PX2 + 1X2 + (-1 + 5P) * X + P = 1

Reorder the terms for easier multiplication:
7PX2 + 1X2 + X(-1 + 5P) + P = 1
7PX2 + 1X2 + (-1 * X + 5P * X) + P = 1

Reorder the terms:
7PX2 + 1X2 + (5PX + -1X) + P = 1
7PX2 + 1X2 + (5PX + -1X) + P = 1

Reorder the terms:
P + 5PX + 7PX2 + -1X + 1X2 = 1

Solving
P + 5PX + 7PX2 + -1X + 1X2 = 1

Solving for variable 'P'.

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

Add 'X' to each side of the equation.
P + 5PX + 7PX2 + -1X + X + 1X2 = 1 + X

Combine like terms: -1X + X = 0
P + 5PX + 7PX2 + 0 + 1X2 = 1 + X
P + 5PX + 7PX2 + 1X2 = 1 + X

Add '-1X2' to each side of the equation.
P + 5PX + 7PX2 + 1X2 + -1X2 = 1 + X + -1X2

Combine like terms: 1X2 + -1X2 = 0
P + 5PX + 7PX2 + 0 = 1 + X + -1X2
P + 5PX + 7PX2 = 1 + X + -1X2

Reorder the terms:
-1 + P + 5PX + 7PX2 + -1X + X2 = 1 + X + -1X2 + -1 + -1X + X2

Reorder the terms:
-1 + P + 5PX + 7PX2 + -1X + X2 = 1 + -1 + X + -1X + -1X2 + X2

Combine like terms: 1 + -1 = 0
-1 + P + 5PX + 7PX2 + -1X + X2 = 0 + X + -1X + -1X2 + X2
-1 + P + 5PX + 7PX2 + -1X + X2 = X + -1X + -1X2 + X2

Combine like terms: X + -1X = 0
-1 + P + 5PX + 7PX2 + -1X + X2 = 0 + -1X2 + X2
-1 + P + 5PX + 7PX2 + -1X + X2 = -1X2 + X2

Combine like terms: -1X2 + X2 = 0
-1 + P + 5PX + 7PX2 + -1X + X2 = 0

The solution to this equation could not be determined.

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