24x^4(x+3)+30x^3(x+3)+18x^2(x+3)=

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Solution for 24x^4(x+3)+30x^3(x+3)+18x^2(x+3)= equation: 


Simplifying
24x4(x + 3) + 30x3(x + 3) + 18x2(x + 3) = 0

Reorder the terms:
24x4(3 + x) + 30x3(x + 3) + 18x2(x + 3) = 0
(3 * 24x4 + x * 24x4) + 30x3(x + 3) + 18x2(x + 3) = 0
(72x4 + 24x5) + 30x3(x + 3) + 18x2(x + 3) = 0

Reorder the terms:
72x4 + 24x5 + 30x3(3 + x) + 18x2(x + 3) = 0
72x4 + 24x5 + (3 * 30x3 + x * 30x3) + 18x2(x + 3) = 0
72x4 + 24x5 + (90x3 + 30x4) + 18x2(x + 3) = 0

Reorder the terms:
72x4 + 24x5 + 90x3 + 30x4 + 18x2(3 + x) = 0
72x4 + 24x5 + 90x3 + 30x4 + (3 * 18x2 + x * 18x2) = 0
72x4 + 24x5 + 90x3 + 30x4 + (54x2 + 18x3) = 0

Reorder the terms:
54x2 + 90x3 + 18x3 + 72x4 + 30x4 + 24x5 = 0

Combine like terms: 90x3 + 18x3 = 108x3
54x2 + 108x3 + 72x4 + 30x4 + 24x5 = 0

Combine like terms: 72x4 + 30x4 = 102x4
54x2 + 108x3 + 102x4 + 24x5 = 0

Solving
54x2 + 108x3 + 102x4 + 24x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(9 + 18x + 17x2 + 4x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(9 + 18x + 17x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
9 + 18x + 17x2 + 4x3 = 0

Solving
9 + 18x + 17x2 + 4x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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