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

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


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

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

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

Reorder the terms:
x2 + (px + -5x) + 4p = 0
x2 + (px + -5x) + 4p = 0

Reorder the terms:
4p + px + -5x + x2 = 0

Solving
4p + px + -5x + x2 = 0

Solving for variable 'p'.

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

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

Combine like terms: -5x + 5x = 0
4p + px + 0 + x2 = 0 + 5x
4p + px + x2 = 0 + 5x
Remove the zero:
4p + px + x2 = 5x

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

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

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

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

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

The solution to this equation could not be determined.

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