(x-4)(x+8)(2x+6)=0

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Solution for (x-4)(x+8)(2x+6)=0 equation:


Simplifying
(x + -4)(x + 8)(2x + 6) = 0

Reorder the terms:
(-4 + x)(x + 8)(2x + 6) = 0

Reorder the terms:
(-4 + x)(8 + x)(2x + 6) = 0

Reorder the terms:
(-4 + x)(8 + x)(6 + 2x) = 0

Multiply (-4 + x) * (8 + x)
(-4(8 + x) + x(8 + x))(6 + 2x) = 0
((8 * -4 + x * -4) + x(8 + x))(6 + 2x) = 0
((-32 + -4x) + x(8 + x))(6 + 2x) = 0
(-32 + -4x + (8 * x + x * x))(6 + 2x) = 0
(-32 + -4x + (8x + x2))(6 + 2x) = 0

Combine like terms: -4x + 8x = 4x
(-32 + 4x + x2)(6 + 2x) = 0

Multiply (-32 + 4x + x2) * (6 + 2x)
(-32(6 + 2x) + 4x * (6 + 2x) + x2(6 + 2x)) = 0
((6 * -32 + 2x * -32) + 4x * (6 + 2x) + x2(6 + 2x)) = 0
((-192 + -64x) + 4x * (6 + 2x) + x2(6 + 2x)) = 0
(-192 + -64x + (6 * 4x + 2x * 4x) + x2(6 + 2x)) = 0
(-192 + -64x + (24x + 8x2) + x2(6 + 2x)) = 0
(-192 + -64x + 24x + 8x2 + (6 * x2 + 2x * x2)) = 0
(-192 + -64x + 24x + 8x2 + (6x2 + 2x3)) = 0

Combine like terms: -64x + 24x = -40x
(-192 + -40x + 8x2 + 6x2 + 2x3) = 0

Combine like terms: 8x2 + 6x2 = 14x2
(-192 + -40x + 14x2 + 2x3) = 0

Solving
-192 + -40x + 14x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-96 + -20x + 7x2 + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-96 + -20x + 7x2 + x3)' equal to zero and attempt to solve: Simplifying -96 + -20x + 7x2 + x3 = 0 Solving -96 + -20x + 7x2 + 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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