z^2-8z-5p=0

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Solution for z^2-8z-5p=0 equation:


Simplifying
z2 + -8z + -5p = 0

Reorder the terms:
-5p + -8z + z2 = 0

Solving
-5p + -8z + z2 = 0

Solving for variable 'p'.

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

Add '8z' to each side of the equation.
-5p + -8z + 8z + z2 = 0 + 8z

Combine like terms: -8z + 8z = 0
-5p + 0 + z2 = 0 + 8z
-5p + z2 = 0 + 8z
Remove the zero:
-5p + z2 = 8z

Add '-1z2' to each side of the equation.
-5p + z2 + -1z2 = 8z + -1z2

Combine like terms: z2 + -1z2 = 0
-5p + 0 = 8z + -1z2
-5p = 8z + -1z2

Divide each side by '-5'.
p = -1.6z + 0.2z2

Simplifying
p = -1.6z + 0.2z2

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