(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 for easier multiplication:
(4 * 3x2 * x + 3)(6x2 * 5x + 10)(6x + -3) = 0

Multiply 4 * 3
(12x2 * x + 3)(6x2 * 5x + 10)(6x + -3) = 0

Multiply x2 * x
(12x3 + 3)(6x2 * 5x + 10)(6x + -3) = 0

Reorder the terms:
(3 + 12x3)(6x2 * 5x + 10)(6x + -3) = 0

Reorder the terms for easier multiplication:
(3 + 12x3)(6 * 5x2 * x + 10)(6x + -3) = 0

Multiply 6 * 5
(3 + 12x3)(30x2 * x + 10)(6x + -3) = 0

Multiply x2 * x
(3 + 12x3)(30x3 + 10)(6x + -3) = 0

Reorder the terms:
(3 + 12x3)(10 + 30x3)(6x + -3) = 0

Reorder the terms:
(3 + 12x3)(10 + 30x3)(-3 + 6x) = 0

Multiply (3 + 12x3) * (10 + 30x3)
(3(10 + 30x3) + 12x3 * (10 + 30x3))(-3 + 6x) = 0
((10 * 3 + 30x3 * 3) + 12x3 * (10 + 30x3))(-3 + 6x) = 0
((30 + 90x3) + 12x3 * (10 + 30x3))(-3 + 6x) = 0
(30 + 90x3 + (10 * 12x3 + 30x3 * 12x3))(-3 + 6x) = 0
(30 + 90x3 + (120x3 + 360x6))(-3 + 6x) = 0

Combine like terms: 90x3 + 120x3 = 210x3
(30 + 210x3 + 360x6)(-3 + 6x) = 0

Multiply (30 + 210x3 + 360x6) * (-3 + 6x)
(30(-3 + 6x) + 210x3 * (-3 + 6x) + 360x6 * (-3 + 6x)) = 0
((-3 * 30 + 6x * 30) + 210x3 * (-3 + 6x) + 360x6 * (-3 + 6x)) = 0
((-90 + 180x) + 210x3 * (-3 + 6x) + 360x6 * (-3 + 6x)) = 0
(-90 + 180x + (-3 * 210x3 + 6x * 210x3) + 360x6 * (-3 + 6x)) = 0
(-90 + 180x + (-630x3 + 1260x4) + 360x6 * (-3 + 6x)) = 0
(-90 + 180x + -630x3 + 1260x4 + (-3 * 360x6 + 6x * 360x6)) = 0
(-90 + 180x + -630x3 + 1260x4 + (-1080x6 + 2160x7)) = 0
(-90 + 180x + -630x3 + 1260x4 + -1080x6 + 2160x7) = 0

Solving
-90 + 180x + -630x3 + 1260x4 + -1080x6 + 2160x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '90'.
90(-1 + 2x + -7x3 + 14x4 + -12x6 + 24x7) = 0

Ignore the factor 90.

Subproblem 1
Set the factor '(-1 + 2x + -7x3 + 14x4 + -12x6 + 24x7)' equal to zero and attempt to solve:

Simplifying
-1 + 2x + -7x3 + 14x4 + -12x6 + 24x7 = 0

Solving
-1 + 2x + -7x3 + 14x4 + -12x6 + 24x7 = 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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