p(x-1)(x-2)+(2p-3)=0

Solution for p(x-1)(x-2)+(2p-3)=0 equation:

Simplifying
p(x + -1)(x + -2) + (2p + -3) = 0

Reorder the terms:
p(-1 + x)(x + -2) + (2p + -3) = 0

Reorder the terms:
p(-1 + x)(-2 + x) + (2p + -3) = 0

Multiply (-1 + x) * (-2 + x)
p(-1(-2 + x) + x(-2 + x)) + (2p + -3) = 0
p((-2 * -1 + x * -1) + x(-2 + x)) + (2p + -3) = 0
p((2 + -1x) + x(-2 + x)) + (2p + -3) = 0
p(2 + -1x + (-2 * x + x * x)) + (2p + -3) = 0
p(2 + -1x + (-2x + x2)) + (2p + -3) = 0

Combine like terms: -1x + -2x = -3x
p(2 + -3x + x2) + (2p + -3) = 0
(2 * p + -3x * p + x2 * p) + (2p + -3) = 0
(2p + -3px + px2) + (2p + -3) = 0

Reorder the terms:
2p + -3px + px2 + (-3 + 2p) = 0

Remove parenthesis around (-3 + 2p)
2p + -3px + px2 + -3 + 2p = 0

Reorder the terms:
-3 + 2p + 2p + -3px + px2 = 0

Combine like terms: 2p + 2p = 4p
-3 + 4p + -3px + px2 = 0

Solving
-3 + 4p + -3px + px2 = 0

Solving for variable 'p'.

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

Add '3' to each side of the equation.
-3 + 4p + -3px + 3 + px2 = 0 + 3

Reorder the terms:
-3 + 3 + 4p + -3px + px2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4p + -3px + px2 = 0 + 3
4p + -3px + px2 = 0 + 3

Combine like terms: 0 + 3 = 3
4p + -3px + px2 = 3

Reorder the terms:
-3 + 4p + -3px + px2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 4p + -3px + px2 = 0

The solution to this equation could not be determined.