(x+6)(4x+10)(6x+7)=0

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Solution for (x+6)(4x+10)(6x+7)=0 equation: 


Simplifying
(x + 6)(4x + 10)(6x + 7) = 0

Reorder the terms:
(6 + x)(4x + 10)(6x + 7) = 0

Reorder the terms:
(6 + x)(10 + 4x)(6x + 7) = 0

Reorder the terms:
(6 + x)(10 + 4x)(7 + 6x) = 0

Multiply (6 + x) * (10 + 4x)
(6(10 + 4x) + x(10 + 4x))(7 + 6x) = 0
((10 * 6 + 4x * 6) + x(10 + 4x))(7 + 6x) = 0
((60 + 24x) + x(10 + 4x))(7 + 6x) = 0
(60 + 24x + (10 * x + 4x * x))(7 + 6x) = 0
(60 + 24x + (10x + 4x2))(7 + 6x) = 0

Combine like terms: 24x + 10x = 34x
(60 + 34x + 4x2)(7 + 6x) = 0

Multiply (60 + 34x + 4x2) * (7 + 6x)
(60(7 + 6x) + 34x * (7 + 6x) + 4x2 * (7 + 6x)) = 0
((7 * 60 + 6x * 60) + 34x * (7 + 6x) + 4x2 * (7 + 6x)) = 0
((420 + 360x) + 34x * (7 + 6x) + 4x2 * (7 + 6x)) = 0
(420 + 360x + (7 * 34x + 6x * 34x) + 4x2 * (7 + 6x)) = 0
(420 + 360x + (238x + 204x2) + 4x2 * (7 + 6x)) = 0
(420 + 360x + 238x + 204x2 + (7 * 4x2 + 6x * 4x2)) = 0
(420 + 360x + 238x + 204x2 + (28x2 + 24x3)) = 0

Combine like terms: 360x + 238x = 598x
(420 + 598x + 204x2 + 28x2 + 24x3) = 0

Combine like terms: 204x2 + 28x2 = 232x2
(420 + 598x + 232x2 + 24x3) = 0

Solving
420 + 598x + 232x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(210 + 299x + 116x2 + 12x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(210 + 299x + 116x2 + 12x3)' equal to zero and attempt to solve:

Simplifying
210 + 299x + 116x2 + 12x3 = 0

Solving
210 + 299x + 116x2 + 12x3 = 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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