2r^3+8R^2-42r=0

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Solution for 2r^3+8R^2-42r=0 equation: 


Simplifying
2r3 + 8R2 + -42r = 0

Reorder the terms:
8R2 + -42r + 2r3 = 0

Solving
8R2 + -42r + 2r3 = 0

Solving for variable 'R'.

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

Add '42r' to each side of the equation.
8R2 + -42r + 42r + 2r3 = 0 + 42r

Combine like terms: -42r + 42r = 0
8R2 + 0 + 2r3 = 0 + 42r
8R2 + 2r3 = 0 + 42r
Remove the zero:
8R2 + 2r3 = 42r

Add '-2r3' to each side of the equation.
8R2 + 2r3 + -2r3 = 42r + -2r3

Combine like terms: 2r3 + -2r3 = 0
8R2 + 0 = 42r + -2r3
8R2 = 42r + -2r3

Divide each side by '8'.
R2 = 5.25r + -0.25r3

Simplifying
R2 = 5.25r + -0.25r3

Reorder the terms:
R2 + -5.25r + 0.25r3 = 5.25r + -5.25r + -0.25r3 + 0.25r3

Combine like terms: 5.25r + -5.25r = 0.00
R2 + -5.25r + 0.25r3 = 0.00 + -0.25r3 + 0.25r3
R2 + -5.25r + 0.25r3 = -0.25r3 + 0.25r3

Combine like terms: -0.25r3 + 0.25r3 = 0.00
R2 + -5.25r + 0.25r3 = 0.00

The solution to this equation could not be determined.

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