X(x-3)(x+1)=0

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Solution for X(x-3)(x+1)=0 equation:


Simplifying
X(x + -3)(x + 1) = 0

Reorder the terms:
X(-3 + x)(x + 1) = 0

Reorder the terms:
X(-3 + x)(1 + x) = 0

Multiply (-3 + x) * (1 + x)
X(-3(1 + x) + x(1 + x)) = 0
X((1 * -3 + x * -3) + x(1 + x)) = 0
X((-3 + -3x) + x(1 + x)) = 0
X(-3 + -3x + (1 * x + x * x)) = 0
X(-3 + -3x + (1x + x2)) = 0

Combine like terms: -3x + 1x = -2x
X(-3 + -2x + x2) = 0
(-3 * X + -2x * X + x2 * X) = 0
(-3X + -2xX + x2X) = 0

Solving
-3X + -2xX + x2X = 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), 'X'.
X(-3 + -2x + x2) = 0

Factor a trinomial.
X((-1 + -1x)(3 + -1x)) = 0

Subproblem 1

Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0

Subproblem 2

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Add 'x' to each side of the equation. -1x + x = 1 + x Combine like terms: -1x + x = 0 0 = 1 + x Simplifying 0 = 1 + 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

X = {0}

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