r^2+3r+8rq+24q=0

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Solution for r^2+3r+8rq+24q=0 equation: 


Simplifying
r2 + 3r + 8rq + 24q = 0

Reorder the terms:
24q + 8qr + 3r + r2 = 0

Solving
24q + 8qr + 3r + r2 = 0

Solving for variable 'q'.

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

Add '-3r' to each side of the equation.
24q + 8qr + 3r + -3r + r2 = 0 + -3r

Combine like terms: 3r + -3r = 0
24q + 8qr + 0 + r2 = 0 + -3r
24q + 8qr + r2 = 0 + -3r
Remove the zero:
24q + 8qr + r2 = -3r

Add '-1r2' to each side of the equation.
24q + 8qr + r2 + -1r2 = -3r + -1r2

Combine like terms: r2 + -1r2 = 0
24q + 8qr + 0 = -3r + -1r2
24q + 8qr = -3r + -1r2

Reorder the terms:
24q + 8qr + 3r + r2 = -3r + 3r + -1r2 + r2

Combine like terms: -3r + 3r = 0
24q + 8qr + 3r + r2 = 0 + -1r2 + r2
24q + 8qr + 3r + r2 = -1r2 + r2

Combine like terms: -1r2 + r2 = 0
24q + 8qr + 3r + r2 = 0

The solution to this equation could not be determined.

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