x^2-x(4p-5q)+20pq=0

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Solution for x^2-x(4p-5q)+20pq=0 equation: 


Simplifying
x2 + -1x(4p + -5q) + 20pq = 0
x2 + (4p * -1x + -5q * -1x) + 20pq = 0
x2 + (-4px + 5qx) + 20pq = 0

Reorder the terms:
20pq + -4px + 5qx + x2 = 0

Solving
20pq + -4px + 5qx + x2 = 0

Solving for variable 'p'.

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

Add '-5qx' to each side of the equation.
20pq + -4px + 5qx + -5qx + x2 = 0 + -5qx

Combine like terms: 5qx + -5qx = 0
20pq + -4px + 0 + x2 = 0 + -5qx
20pq + -4px + x2 = 0 + -5qx
Remove the zero:
20pq + -4px + x2 = -5qx

Add '-1x2' to each side of the equation.
20pq + -4px + x2 + -1x2 = -5qx + -1x2

Combine like terms: x2 + -1x2 = 0
20pq + -4px + 0 = -5qx + -1x2
20pq + -4px = -5qx + -1x2

Reorder the terms:
20pq + -4px + 5qx + x2 = -5qx + 5qx + -1x2 + x2

Combine like terms: -5qx + 5qx = 0
20pq + -4px + 5qx + x2 = 0 + -1x2 + x2
20pq + -4px + 5qx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
20pq + -4px + 5qx + x2 = 0

The solution to this equation could not be determined.

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