4(x+6)(x-2)(3x+4)=0

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Solution for 4(x+6)(x-2)(3x+4)=0 equation: 


Simplifying
4(x + 6)(x + -2)(3x + 4) = 0

Reorder the terms:
4(6 + x)(x + -2)(3x + 4) = 0

Reorder the terms:
4(6 + x)(-2 + x)(3x + 4) = 0

Reorder the terms:
4(6 + x)(-2 + x)(4 + 3x) = 0

Multiply (6 + x) * (-2 + x)
4(6(-2 + x) + x(-2 + x))(4 + 3x) = 0
4((-2 * 6 + x * 6) + x(-2 + x))(4 + 3x) = 0
4((-12 + 6x) + x(-2 + x))(4 + 3x) = 0
4(-12 + 6x + (-2 * x + x * x))(4 + 3x) = 0
4(-12 + 6x + (-2x + x2))(4 + 3x) = 0

Combine like terms: 6x + -2x = 4x
4(-12 + 4x + x2)(4 + 3x) = 0

Multiply (-12 + 4x + x2) * (4 + 3x)
4(-12(4 + 3x) + 4x * (4 + 3x) + x2(4 + 3x)) = 0
4((4 * -12 + 3x * -12) + 4x * (4 + 3x) + x2(4 + 3x)) = 0
4((-48 + -36x) + 4x * (4 + 3x) + x2(4 + 3x)) = 0
4(-48 + -36x + (4 * 4x + 3x * 4x) + x2(4 + 3x)) = 0
4(-48 + -36x + (16x + 12x2) + x2(4 + 3x)) = 0
4(-48 + -36x + 16x + 12x2 + (4 * x2 + 3x * x2)) = 0
4(-48 + -36x + 16x + 12x2 + (4x2 + 3x3)) = 0

Combine like terms: -36x + 16x = -20x
4(-48 + -20x + 12x2 + 4x2 + 3x3) = 0

Combine like terms: 12x2 + 4x2 = 16x2
4(-48 + -20x + 16x2 + 3x3) = 0
(-48 * 4 + -20x * 4 + 16x2 * 4 + 3x3 * 4) = 0
(-192 + -80x + 64x2 + 12x3) = 0

Solving
-192 + -80x + 64x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-48 + -20x + 16x2 + 3x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-48 + -20x + 16x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
-48 + -20x + 16x2 + 3x3 = 0

Solving
-48 + -20x + 16x2 + 3x3 = 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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