0=pir^2-2pir-s^2-4s-40

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Solution for 0=pir^2-2pir-s^2-4s-40 equation:


Simplifying
0 = pir2 + -2pir + -1s2 + -4s + -40

Reorder the terms:
0 = -40 + -2ipr + ipr2 + -4s + -1s2

Solving
0 = -40 + -2ipr + ipr2 + -4s + -1s2

Solving for variable 'i'.

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

Add '2ipr' to each side of the equation.
0 + 2ipr = -40 + -2ipr + ipr2 + -4s + 2ipr + -1s2
Remove the zero:
2ipr = -40 + -2ipr + ipr2 + -4s + 2ipr + -1s2

Reorder the terms:
2ipr = -40 + -2ipr + 2ipr + ipr2 + -4s + -1s2

Combine like terms: -2ipr + 2ipr = 0
2ipr = -40 + 0 + ipr2 + -4s + -1s2
2ipr = -40 + ipr2 + -4s + -1s2

Add '-1ipr2' to each side of the equation.
2ipr + -1ipr2 = -40 + ipr2 + -4s + -1ipr2 + -1s2

Reorder the terms:
2ipr + -1ipr2 = -40 + ipr2 + -1ipr2 + -4s + -1s2

Combine like terms: ipr2 + -1ipr2 = 0
2ipr + -1ipr2 = -40 + 0 + -4s + -1s2
2ipr + -1ipr2 = -40 + -4s + -1s2

Reorder the terms:
40 + 2ipr + -1ipr2 + 4s + s2 = -40 + -4s + -1s2 + 40 + 4s + s2

Reorder the terms:
40 + 2ipr + -1ipr2 + 4s + s2 = -40 + 40 + -4s + 4s + -1s2 + s2

Combine like terms: -40 + 40 = 0
40 + 2ipr + -1ipr2 + 4s + s2 = 0 + -4s + 4s + -1s2 + s2
40 + 2ipr + -1ipr2 + 4s + s2 = -4s + 4s + -1s2 + s2

Combine like terms: -4s + 4s = 0
40 + 2ipr + -1ipr2 + 4s + s2 = 0 + -1s2 + s2
40 + 2ipr + -1ipr2 + 4s + s2 = -1s2 + s2

Combine like terms: -1s2 + s2 = 0
40 + 2ipr + -1ipr2 + 4s + s2 = 0

The solution to this equation could not be determined.

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