6x^3r+29x^2-7x-10=0

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Solution for 6x^3r+29x^2-7x-10=0 equation: 


Simplifying
6x3r + 29x2 + -7x + -10 = 0

Reorder the terms:
-10 + 6rx3 + -7x + 29x2 = 0

Solving
-10 + 6rx3 + -7x + 29x2 = 0

Solving for variable 'r'.

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

Add '10' to each side of the equation.
-10 + 6rx3 + -7x + 10 + 29x2 = 0 + 10

Reorder the terms:
-10 + 10 + 6rx3 + -7x + 29x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 6rx3 + -7x + 29x2 = 0 + 10
6rx3 + -7x + 29x2 = 0 + 10

Combine like terms: 0 + 10 = 10
6rx3 + -7x + 29x2 = 10

Add '7x' to each side of the equation.
6rx3 + -7x + 7x + 29x2 = 10 + 7x

Combine like terms: -7x + 7x = 0
6rx3 + 0 + 29x2 = 10 + 7x
6rx3 + 29x2 = 10 + 7x

Add '-29x2' to each side of the equation.
6rx3 + 29x2 + -29x2 = 10 + 7x + -29x2

Combine like terms: 29x2 + -29x2 = 0
6rx3 + 0 = 10 + 7x + -29x2
6rx3 = 10 + 7x + -29x2

Divide each side by '6x3'.
r = 1.666666667x-3 + 1.166666667x-2 + -4.833333333x-1

Simplifying
r = 1.666666667x-3 + 1.166666667x-2 + -4.833333333x-1

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