x^3(2r+3)(3v^2+5)=

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Solution for x^3(2r+3)(3v^2+5)= equation: 


Simplifying
x3(2r + 3)(3v2 + 5) = 0

Reorder the terms:
x3(3 + 2r)(3v2 + 5) = 0

Reorder the terms:
x3(3 + 2r)(5 + 3v2) = 0

Multiply (3 + 2r) * (5 + 3v2)
x3(3(5 + 3v2) + 2r * (5 + 3v2)) = 0
x3((5 * 3 + 3v2 * 3) + 2r * (5 + 3v2)) = 0
x3((15 + 9v2) + 2r * (5 + 3v2)) = 0
x3(15 + 9v2 + (5 * 2r + 3v2 * 2r)) = 0
x3(15 + 9v2 + (10r + 6rv2)) = 0

Reorder the terms:
x3(15 + 10r + 6rv2 + 9v2) = 0
x3(15 + 10r + 6rv2 + 9v2) = 0
(15 * x3 + 10r * x3 + 6rv2 * x3 + 9v2 * x3) = 0

Reorder the terms:
(6rv2x3 + 10rx3 + 9v2x3 + 15x3) = 0
(6rv2x3 + 10rx3 + 9v2x3 + 15x3) = 0

Solving
6rv2x3 + 10rx3 + 9v2x3 + 15x3 = 0

Solving for variable 'r'.

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

Add '-9v2x3' to each side of the equation.
6rv2x3 + 10rx3 + 9v2x3 + -9v2x3 + 15x3 = 0 + -9v2x3

Combine like terms: 9v2x3 + -9v2x3 = 0
6rv2x3 + 10rx3 + 0 + 15x3 = 0 + -9v2x3
6rv2x3 + 10rx3 + 15x3 = 0 + -9v2x3
Remove the zero:
6rv2x3 + 10rx3 + 15x3 = -9v2x3

Add '-15x3' to each side of the equation.
6rv2x3 + 10rx3 + 15x3 + -15x3 = -9v2x3 + -15x3

Combine like terms: 15x3 + -15x3 = 0
6rv2x3 + 10rx3 + 0 = -9v2x3 + -15x3
6rv2x3 + 10rx3 = -9v2x3 + -15x3

Reorder the terms:
6rv2x3 + 10rx3 + 9v2x3 + 15x3 = -9v2x3 + 9v2x3 + -15x3 + 15x3

Combine like terms: -9v2x3 + 9v2x3 = 0
6rv2x3 + 10rx3 + 9v2x3 + 15x3 = 0 + -15x3 + 15x3
6rv2x3 + 10rx3 + 9v2x3 + 15x3 = -15x3 + 15x3

Combine like terms: -15x3 + 15x3 = 0
6rv2x3 + 10rx3 + 9v2x3 + 15x3 = 0

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(6rv2 + 10r + 9v2 + 15) = 0


Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Add '-1x3' to each side of the equation.
x3 + -1x3 = 0 + -1x3
Remove the zero:
0 = -1x3

Simplifying
0 = -1x3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(6rv2 + 10r + 9v2 + 15)' equal to zero and attempt to solve:

Simplifying
6rv2 + 10r + 9v2 + 15 = 0

Reorder the terms:
15 + 10r + 6rv2 + 9v2 = 0

Solving
15 + 10r + 6rv2 + 9v2 = 0

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

Add '-15' to each side of the equation.
15 + 10r + 6rv2 + -15 + 9v2 = 0 + -15

Reorder the terms:
15 + -15 + 10r + 6rv2 + 9v2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 10r + 6rv2 + 9v2 = 0 + -15
10r + 6rv2 + 9v2 = 0 + -15

Combine like terms: 0 + -15 = -15
10r + 6rv2 + 9v2 = -15

Add '-9v2' to each side of the equation.
10r + 6rv2 + 9v2 + -9v2 = -15 + -9v2

Combine like terms: 9v2 + -9v2 = 0
10r + 6rv2 + 0 = -15 + -9v2
10r + 6rv2 = -15 + -9v2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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