X^3(6-x)(3x+2)=0

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


Simplifying
X3(6 + -1x)(3x + 2) = 0

Reorder the terms:
X3(6 + -1x)(2 + 3x) = 0

Multiply (6 + -1x) * (2 + 3x)
X3(6(2 + 3x) + -1x * (2 + 3x)) = 0
X3((2 * 6 + 3x * 6) + -1x * (2 + 3x)) = 0
X3((12 + 18x) + -1x * (2 + 3x)) = 0
X3(12 + 18x + (2 * -1x + 3x * -1x)) = 0
X3(12 + 18x + (-2x + -3x2)) = 0

Combine like terms: 18x + -2x = 16x
X3(12 + 16x + -3x2) = 0
(12 * X3 + 16x * X3 + -3x2 * X3) = 0
(12X3 + 16xX3 + -3x2X3) = 0

Solving
12X3 + 16xX3 + -3x2X3 = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X3'.
X3(12 + 16x + -3x2) = 0

Factor a trinomial.
X3((6 + -1x)(2 + 3x)) = 0

Subproblem 1

Set the factor 'X3' equal to zero and attempt to solve: Simplifying X3 = 0 Solving X3 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X3 = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Add 'x' to each side of the equation. -1x + x = -6 + x Combine like terms: -1x + x = 0 0 = -6 + x Simplifying 0 = -6 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Add '-3x' to each side of the equation. 3x + -3x = -2 + -3x Combine like terms: 3x + -3x = 0 0 = -2 + -3x Simplifying 0 = -2 + -3x 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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