kx^2+px+q=0

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Solution for kx^2+px+q=0 equation:


Simplifying
kx2 + px + q = 0

Solving
kx2 + px + q = 0

Solving for variable 'k'.

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

Add '-1px' to each side of the equation.
kx2 + px + -1px + q = 0 + -1px

Combine like terms: px + -1px = 0
kx2 + 0 + q = 0 + -1px
kx2 + q = 0 + -1px
Remove the zero:
kx2 + q = -1px

Add '-1q' to each side of the equation.
kx2 + q + -1q = -1px + -1q

Combine like terms: q + -1q = 0
kx2 + 0 = -1px + -1q
kx2 = -1px + -1q

Divide each side by 'x2'.
k = -1px-1 + -1qx-2

Simplifying
k = -1px-1 + -1qx-2

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