(x-p)(x-q)=0

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Solution for (x-p)(x-q)=0 equation:


Simplifying
(x + -1p)(x + -1q) = 0

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

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

Multiply (-1p + x) * (-1q + x)
(-1p * (-1q + x) + x(-1q + x)) = 0
((-1q * -1p + x * -1p) + x(-1q + x)) = 0
((1pq + -1px) + x(-1q + x)) = 0
(1pq + -1px + (-1q * x + x * x)) = 0
(1pq + -1px + (-1qx + x2)) = 0
(1pq + -1px + -1qx + x2) = 0

Solving
1pq + -1px + -1qx + x2 = 0

Solving for variable 'p'.

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

Add 'qx' to each side of the equation.
1pq + -1px + -1qx + qx + x2 = 0 + qx

Combine like terms: -1qx + qx = 0
1pq + -1px + 0 + x2 = 0 + qx
1pq + -1px + x2 = 0 + qx
Remove the zero:
1pq + -1px + x2 = qx

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

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

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

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

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

The solution to this equation could not be determined.

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