x^2-2px+q=0

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Solution for x^2-2px+q=0 equation:


Simplifying
x2 + -2px + q = 0

Reorder the terms:
-2px + q + x2 = 0

Solving
-2px + q + x2 = 0

Solving for variable 'p'.

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

Add '-1q' to each side of the equation.
-2px + q + -1q + x2 = 0 + -1q

Combine like terms: q + -1q = 0
-2px + 0 + x2 = 0 + -1q
-2px + x2 = 0 + -1q
Remove the zero:
-2px + x2 = -1q

Add '-1x2' to each side of the equation.
-2px + x2 + -1x2 = -1q + -1x2

Combine like terms: x2 + -1x2 = 0
-2px + 0 = -1q + -1x2
-2px = -1q + -1x2

Divide each side by '-2x'.
p = 0.5qx-1 + 0.5x

Simplifying
p = 0.5qx-1 + 0.5x

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