2x^2+(q-4p)x-2px=0

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


Simplifying
2x2 + (q + -4p) * x + -2px = 0

Reorder the terms:
2x2 + (-4p + q) * x + -2px = 0

Reorder the terms for easier multiplication:
2x2 + x(-4p + q) + -2px = 0
2x2 + (-4p * x + q * x) + -2px = 0
2x2 + (-4px + qx) + -2px = 0

Reorder the terms:
-4px + -2px + qx + 2x2 = 0

Combine like terms: -4px + -2px = -6px
-6px + qx + 2x2 = 0

Solving
-6px + qx + 2x2 = 0

Solving for variable 'p'.

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

Add '-1qx' to each side of the equation.
-6px + qx + -1qx + 2x2 = 0 + -1qx

Combine like terms: qx + -1qx = 0
-6px + 0 + 2x2 = 0 + -1qx
-6px + 2x2 = 0 + -1qx
Remove the zero:
-6px + 2x2 = -1qx

Add '-2x2' to each side of the equation.
-6px + 2x2 + -2x2 = -1qx + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6px + 0 = -1qx + -2x2
-6px = -1qx + -2x2

Divide each side by '-6x'.
p = 0.1666666667q + 0.3333333333x

Simplifying
p = 0.1666666667q + 0.3333333333x

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