(x^7-4x^6)(x+3)(x-2)=0

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Solution for (x^7-4x^6)(x+3)(x-2)=0 equation: 


Simplifying
(x7 + -4x6)(x + 3)(x + -2) = 0

Reorder the terms:
(-4x6 + x7)(x + 3)(x + -2) = 0

Reorder the terms:
(-4x6 + x7)(3 + x)(x + -2) = 0

Reorder the terms:
(-4x6 + x7)(3 + x)(-2 + x) = 0

Multiply (-4x6 + x7) * (3 + x)
(-4x6 * (3 + x) + x7(3 + x))(-2 + x) = 0
((3 * -4x6 + x * -4x6) + x7(3 + x))(-2 + x) = 0
((-12x6 + -4x7) + x7(3 + x))(-2 + x) = 0
(-12x6 + -4x7 + (3 * x7 + x * x7))(-2 + x) = 0
(-12x6 + -4x7 + (3x7 + x8))(-2 + x) = 0

Combine like terms: -4x7 + 3x7 = -1x7
(-12x6 + -1x7 + x8)(-2 + x) = 0

Multiply (-12x6 + -1x7 + x8) * (-2 + x)
(-12x6 * (-2 + x) + -1x7 * (-2 + x) + x8(-2 + x)) = 0
((-2 * -12x6 + x * -12x6) + -1x7 * (-2 + x) + x8(-2 + x)) = 0
((24x6 + -12x7) + -1x7 * (-2 + x) + x8(-2 + x)) = 0
(24x6 + -12x7 + (-2 * -1x7 + x * -1x7) + x8(-2 + x)) = 0
(24x6 + -12x7 + (2x7 + -1x8) + x8(-2 + x)) = 0
(24x6 + -12x7 + 2x7 + -1x8 + (-2 * x8 + x * x8)) = 0
(24x6 + -12x7 + 2x7 + -1x8 + (-2x8 + x9)) = 0

Combine like terms: -12x7 + 2x7 = -10x7
(24x6 + -10x7 + -1x8 + -2x8 + x9) = 0

Combine like terms: -1x8 + -2x8 = -3x8
(24x6 + -10x7 + -3x8 + x9) = 0

Solving
24x6 + -10x7 + -3x8 + x9 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x6'.
x6(24 + -10x + -3x2 + x3) = 0


Subproblem 1
Set the factor 'x6' equal to zero and attempt to solve:

Simplifying
x6 = 0

Solving
x6 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(24 + -10x + -3x2 + x3)' equal to zero and attempt to solve:

Simplifying
24 + -10x + -3x2 + x3 = 0

Solving
24 + -10x + -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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