(x+1)(x-6)(4x+8)=0

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Solution for (x+1)(x-6)(4x+8)=0 equation:


Simplifying
(x + 1)(x + -6)(4x + 8) = 0

Reorder the terms:
(1 + x)(x + -6)(4x + 8) = 0

Reorder the terms:
(1 + x)(-6 + x)(4x + 8) = 0

Reorder the terms:
(1 + x)(-6 + x)(8 + 4x) = 0

Multiply (1 + x) * (-6 + x)
(1(-6 + x) + x(-6 + x))(8 + 4x) = 0
((-6 * 1 + x * 1) + x(-6 + x))(8 + 4x) = 0
((-6 + 1x) + x(-6 + x))(8 + 4x) = 0
(-6 + 1x + (-6 * x + x * x))(8 + 4x) = 0
(-6 + 1x + (-6x + x2))(8 + 4x) = 0

Combine like terms: 1x + -6x = -5x
(-6 + -5x + x2)(8 + 4x) = 0

Multiply (-6 + -5x + x2) * (8 + 4x)
(-6(8 + 4x) + -5x * (8 + 4x) + x2(8 + 4x)) = 0
((8 * -6 + 4x * -6) + -5x * (8 + 4x) + x2(8 + 4x)) = 0
((-48 + -24x) + -5x * (8 + 4x) + x2(8 + 4x)) = 0
(-48 + -24x + (8 * -5x + 4x * -5x) + x2(8 + 4x)) = 0
(-48 + -24x + (-40x + -20x2) + x2(8 + 4x)) = 0
(-48 + -24x + -40x + -20x2 + (8 * x2 + 4x * x2)) = 0
(-48 + -24x + -40x + -20x2 + (8x2 + 4x3)) = 0

Combine like terms: -24x + -40x = -64x
(-48 + -64x + -20x2 + 8x2 + 4x3) = 0

Combine like terms: -20x2 + 8x2 = -12x2
(-48 + -64x + -12x2 + 4x3) = 0

Solving
-48 + -64x + -12x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -16x + -3x2 + x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-12 + -16x + -3x2 + x3)' equal to zero and attempt to solve:

Simplifying
-12 + -16x + -3x2 + x3 = 0

Solving
-12 + -16x + -3x2 + x3 = 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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