(5p-1)x^2-4x+(2p-1)=0

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Solution for (5p-1)x^2-4x+(2p-1)=0 equation: 


Simplifying
(5p + -1) * x2 + -4x + (2p + -1) = 0

Reorder the terms:
(-1 + 5p) * x2 + -4x + (2p + -1) = 0

Reorder the terms for easier multiplication:
x2(-1 + 5p) + -4x + (2p + -1) = 0
(-1 * x2 + 5p * x2) + -4x + (2p + -1) = 0

Reorder the terms:
(5px2 + -1x2) + -4x + (2p + -1) = 0
(5px2 + -1x2) + -4x + (2p + -1) = 0

Reorder the terms:
5px2 + -1x2 + -4x + (-1 + 2p) = 0

Remove parenthesis around (-1 + 2p)
5px2 + -1x2 + -4x + -1 + 2p = 0

Reorder the terms:
-1 + 2p + 5px2 + -4x + -1x2 = 0

Solving
-1 + 2p + 5px2 + -4x + -1x2 = 0

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + 2p + 5px2 + -4x + 1 + -1x2 = 0 + 1

Reorder the terms:
-1 + 1 + 2p + 5px2 + -4x + -1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2p + 5px2 + -4x + -1x2 = 0 + 1
2p + 5px2 + -4x + -1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
2p + 5px2 + -4x + -1x2 = 1

Add '4x' to each side of the equation.
2p + 5px2 + -4x + 4x + -1x2 = 1 + 4x

Combine like terms: -4x + 4x = 0
2p + 5px2 + 0 + -1x2 = 1 + 4x
2p + 5px2 + -1x2 = 1 + 4x

Add 'x2' to each side of the equation.
2p + 5px2 + -1x2 + x2 = 1 + 4x + x2

Combine like terms: -1x2 + x2 = 0
2p + 5px2 + 0 = 1 + 4x + x2
2p + 5px2 = 1 + 4x + x2

Reorder the terms:
-1 + 2p + 5px2 + -4x + -1x2 = 1 + 4x + x2 + -1 + -4x + -1x2

Reorder the terms:
-1 + 2p + 5px2 + -4x + -1x2 = 1 + -1 + 4x + -4x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + 2p + 5px2 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2
-1 + 2p + 5px2 + -4x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
-1 + 2p + 5px2 + -4x + -1x2 = 0 + x2 + -1x2
-1 + 2p + 5px2 + -4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + 2p + 5px2 + -4x + -1x2 = 0

The solution to this equation could not be determined.

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