0=px^2+(2p-5)x+3p+6

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Solution for 0=px^2+(2p-5)x+3p+6 equation: 


Simplifying
0 = px2 + (2p + -5) * x + 3p + 6

Reorder the terms:
0 = px2 + (-5 + 2p) * x + 3p + 6

Reorder the terms for easier multiplication:
0 = px2 + x(-5 + 2p) + 3p + 6
0 = px2 + (-5 * x + 2p * x) + 3p + 6

Reorder the terms:
0 = px2 + (2px + -5x) + 3p + 6
0 = px2 + (2px + -5x) + 3p + 6

Reorder the terms:
0 = 6 + 3p + 2px + px2 + -5x

Solving
0 = 6 + 3p + 2px + px2 + -5x

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
0 + -3p = 6 + 3p + 2px + px2 + -3p + -5x
Remove the zero:
-3p = 6 + 3p + 2px + px2 + -3p + -5x

Reorder the terms:
-3p = 6 + 3p + -3p + 2px + px2 + -5x

Combine like terms: 3p + -3p = 0
-3p = 6 + 0 + 2px + px2 + -5x
-3p = 6 + 2px + px2 + -5x

Add '-2px' to each side of the equation.
-3p + -2px = 6 + 2px + px2 + -2px + -5x

Reorder the terms:
-3p + -2px = 6 + 2px + -2px + px2 + -5x

Combine like terms: 2px + -2px = 0
-3p + -2px = 6 + 0 + px2 + -5x
-3p + -2px = 6 + px2 + -5x

Add '-1px2' to each side of the equation.
-3p + -2px + -1px2 = 6 + px2 + -1px2 + -5x

Combine like terms: px2 + -1px2 = 0
-3p + -2px + -1px2 = 6 + 0 + -5x
-3p + -2px + -1px2 = 6 + -5x

Reorder the terms:
-6 + -3p + -2px + -1px2 + 5x = 6 + -5x + -6 + 5x

Reorder the terms:
-6 + -3p + -2px + -1px2 + 5x = 6 + -6 + -5x + 5x

Combine like terms: 6 + -6 = 0
-6 + -3p + -2px + -1px2 + 5x = 0 + -5x + 5x
-6 + -3p + -2px + -1px2 + 5x = -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + -3p + -2px + -1px2 + 5x = 0

The solution to this equation could not be determined.

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