(4x^2+3x+3)(6x^2+5x+10)(6x-3)=

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Solution for (4x^2+3x+3)(6x^2+5x+10)(6x-3)= equation: 


Simplifying
(4x2 + 3x + 3)(6x2 + 5x + 10)(6x + -3) = 0

Reorder the terms:
(3 + 3x + 4x2)(6x2 + 5x + 10)(6x + -3) = 0

Reorder the terms:
(3 + 3x + 4x2)(10 + 5x + 6x2)(6x + -3) = 0

Reorder the terms:
(3 + 3x + 4x2)(10 + 5x + 6x2)(-3 + 6x) = 0

Multiply (3 + 3x + 4x2) * (10 + 5x + 6x2)
(3(10 + 5x + 6x2) + 3x * (10 + 5x + 6x2) + 4x2 * (10 + 5x + 6x2))(-3 + 6x) = 0
((10 * 3 + 5x * 3 + 6x2 * 3) + 3x * (10 + 5x + 6x2) + 4x2 * (10 + 5x + 6x2))(-3 + 6x) = 0
((30 + 15x + 18x2) + 3x * (10 + 5x + 6x2) + 4x2 * (10 + 5x + 6x2))(-3 + 6x) = 0
(30 + 15x + 18x2 + (10 * 3x + 5x * 3x + 6x2 * 3x) + 4x2 * (10 + 5x + 6x2))(-3 + 6x) = 0
(30 + 15x + 18x2 + (30x + 15x2 + 18x3) + 4x2 * (10 + 5x + 6x2))(-3 + 6x) = 0
(30 + 15x + 18x2 + 30x + 15x2 + 18x3 + (10 * 4x2 + 5x * 4x2 + 6x2 * 4x2))(-3 + 6x) = 0
(30 + 15x + 18x2 + 30x + 15x2 + 18x3 + (40x2 + 20x3 + 24x4))(-3 + 6x) = 0

Reorder the terms:
(30 + 15x + 30x + 18x2 + 15x2 + 40x2 + 18x3 + 20x3 + 24x4)(-3 + 6x) = 0

Combine like terms: 15x + 30x = 45x
(30 + 45x + 18x2 + 15x2 + 40x2 + 18x3 + 20x3 + 24x4)(-3 + 6x) = 0

Combine like terms: 18x2 + 15x2 = 33x2
(30 + 45x + 33x2 + 40x2 + 18x3 + 20x3 + 24x4)(-3 + 6x) = 0

Combine like terms: 33x2 + 40x2 = 73x2
(30 + 45x + 73x2 + 18x3 + 20x3 + 24x4)(-3 + 6x) = 0

Combine like terms: 18x3 + 20x3 = 38x3
(30 + 45x + 73x2 + 38x3 + 24x4)(-3 + 6x) = 0

Multiply (30 + 45x + 73x2 + 38x3 + 24x4) * (-3 + 6x)
(30(-3 + 6x) + 45x * (-3 + 6x) + 73x2 * (-3 + 6x) + 38x3 * (-3 + 6x) + 24x4 * (-3 + 6x)) = 0
((-3 * 30 + 6x * 30) + 45x * (-3 + 6x) + 73x2 * (-3 + 6x) + 38x3 * (-3 + 6x) + 24x4 * (-3 + 6x)) = 0
((-90 + 180x) + 45x * (-3 + 6x) + 73x2 * (-3 + 6x) + 38x3 * (-3 + 6x) + 24x4 * (-3 + 6x)) = 0
(-90 + 180x + (-3 * 45x + 6x * 45x) + 73x2 * (-3 + 6x) + 38x3 * (-3 + 6x) + 24x4 * (-3 + 6x)) = 0
(-90 + 180x + (-135x + 270x2) + 73x2 * (-3 + 6x) + 38x3 * (-3 + 6x) + 24x4 * (-3 + 6x)) = 0
(-90 + 180x + -135x + 270x2 + (-3 * 73x2 + 6x * 73x2) + 38x3 * (-3 + 6x) + 24x4 * (-3 + 6x)) = 0
(-90 + 180x + -135x + 270x2 + (-219x2 + 438x3) + 38x3 * (-3 + 6x) + 24x4 * (-3 + 6x)) = 0
(-90 + 180x + -135x + 270x2 + -219x2 + 438x3 + (-3 * 38x3 + 6x * 38x3) + 24x4 * (-3 + 6x)) = 0
(-90 + 180x + -135x + 270x2 + -219x2 + 438x3 + (-114x3 + 228x4) + 24x4 * (-3 + 6x)) = 0
(-90 + 180x + -135x + 270x2 + -219x2 + 438x3 + -114x3 + 228x4 + (-3 * 24x4 + 6x * 24x4)) = 0
(-90 + 180x + -135x + 270x2 + -219x2 + 438x3 + -114x3 + 228x4 + (-72x4 + 144x5)) = 0

Combine like terms: 180x + -135x = 45x
(-90 + 45x + 270x2 + -219x2 + 438x3 + -114x3 + 228x4 + -72x4 + 144x5) = 0

Combine like terms: 270x2 + -219x2 = 51x2
(-90 + 45x + 51x2 + 438x3 + -114x3 + 228x4 + -72x4 + 144x5) = 0

Combine like terms: 438x3 + -114x3 = 324x3
(-90 + 45x + 51x2 + 324x3 + 228x4 + -72x4 + 144x5) = 0

Combine like terms: 228x4 + -72x4 = 156x4
(-90 + 45x + 51x2 + 324x3 + 156x4 + 144x5) = 0

Solving
-90 + 45x + 51x2 + 324x3 + 156x4 + 144x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-30 + 15x + 17x2 + 108x3 + 52x4 + 48x5) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-30 + 15x + 17x2 + 108x3 + 52x4 + 48x5)' equal to zero and attempt to solve:

Simplifying
-30 + 15x + 17x2 + 108x3 + 52x4 + 48x5 = 0

Solving
-30 + 15x + 17x2 + 108x3 + 52x4 + 48x5 = 0

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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