3(x-4)(x+8)(x-3)=0

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Solution for 3(x-4)(x+8)(x-3)=0 equation: 


Simplifying
3(x + -4)(x + 8)(x + -3) = 0

Reorder the terms:
3(-4 + x)(x + 8)(x + -3) = 0

Reorder the terms:
3(-4 + x)(8 + x)(x + -3) = 0

Reorder the terms:
3(-4 + x)(8 + x)(-3 + x) = 0

Multiply (-4 + x) * (8 + x)
3(-4(8 + x) + x(8 + x))(-3 + x) = 0
3((8 * -4 + x * -4) + x(8 + x))(-3 + x) = 0
3((-32 + -4x) + x(8 + x))(-3 + x) = 0
3(-32 + -4x + (8 * x + x * x))(-3 + x) = 0
3(-32 + -4x + (8x + x2))(-3 + x) = 0

Combine like terms: -4x + 8x = 4x
3(-32 + 4x + x2)(-3 + x) = 0

Multiply (-32 + 4x + x2) * (-3 + x)
3(-32(-3 + x) + 4x * (-3 + x) + x2(-3 + x)) = 0
3((-3 * -32 + x * -32) + 4x * (-3 + x) + x2(-3 + x)) = 0
3((96 + -32x) + 4x * (-3 + x) + x2(-3 + x)) = 0
3(96 + -32x + (-3 * 4x + x * 4x) + x2(-3 + x)) = 0
3(96 + -32x + (-12x + 4x2) + x2(-3 + x)) = 0
3(96 + -32x + -12x + 4x2 + (-3 * x2 + x * x2)) = 0
3(96 + -32x + -12x + 4x2 + (-3x2 + x3)) = 0

Combine like terms: -32x + -12x = -44x
3(96 + -44x + 4x2 + -3x2 + x3) = 0

Combine like terms: 4x2 + -3x2 = 1x2
3(96 + -44x + 1x2 + x3) = 0
(96 * 3 + -44x * 3 + 1x2 * 3 + x3 * 3) = 0
(288 + -132x + 3x2 + 3x3) = 0

Solving
288 + -132x + 3x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(96 + -44x + x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(96 + -44x + x2 + x3)' equal to zero and attempt to solve:

Simplifying
96 + -44x + x2 + x3 = 0

Solving
96 + -44x + x2 + 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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