(x^2+2x+3)(6x^2+9x+5x)=

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Solution for (x^2+2x+3)(6x^2+9x+5x)= equation: 


Simplifying
(x2 + 2x + 3)(6x2 + 9x + 5x) = 0

Reorder the terms:
(3 + 2x + x2)(6x2 + 9x + 5x) = 0

Reorder the terms:
(3 + 2x + x2)(9x + 5x + 6x2) = 0

Combine like terms: 9x + 5x = 14x
(3 + 2x + x2)(14x + 6x2) = 0

Multiply (3 + 2x + x2) * (14x + 6x2)
(3(14x + 6x2) + 2x * (14x + 6x2) + x2(14x + 6x2)) = 0
((14x * 3 + 6x2 * 3) + 2x * (14x + 6x2) + x2(14x + 6x2)) = 0
((42x + 18x2) + 2x * (14x + 6x2) + x2(14x + 6x2)) = 0
(42x + 18x2 + (14x * 2x + 6x2 * 2x) + x2(14x + 6x2)) = 0
(42x + 18x2 + (28x2 + 12x3) + x2(14x + 6x2)) = 0
(42x + 18x2 + 28x2 + 12x3 + (14x * x2 + 6x2 * x2)) = 0
(42x + 18x2 + 28x2 + 12x3 + (14x3 + 6x4)) = 0

Combine like terms: 18x2 + 28x2 = 46x2
(42x + 46x2 + 12x3 + 14x3 + 6x4) = 0

Combine like terms: 12x3 + 14x3 = 26x3
(42x + 46x2 + 26x3 + 6x4) = 0

Solving
42x + 46x2 + 26x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(21 + 23x + 13x2 + 3x3) = 0

Ignore the factor 2.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(21 + 23x + 13x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
21 + 23x + 13x2 + 3x3 = 0

Solving
21 + 23x + 13x2 + 3x3 = 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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