X(x+4)(2x-1)=0

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Solution for X(x+4)(2x-1)=0 equation: 


Simplifying
X(x + 4)(2x + -1) = 0

Reorder the terms:
X(4 + x)(2x + -1) = 0

Reorder the terms:
X(4 + x)(-1 + 2x) = 0

Multiply (4 + x) * (-1 + 2x)
X(4(-1 + 2x) + x(-1 + 2x)) = 0
X((-1 * 4 + 2x * 4) + x(-1 + 2x)) = 0
X((-4 + 8x) + x(-1 + 2x)) = 0
X(-4 + 8x + (-1 * x + 2x * x)) = 0
X(-4 + 8x + (-1x + 2x2)) = 0

Combine like terms: 8x + -1x = 7x
X(-4 + 7x + 2x2) = 0
(-4 * X + 7x * X + 2x2 * X) = 0
(-4X + 7xX + 2x2X) = 0

Solving
-4X + 7xX + 2x2X = 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(-4 + 7x + 2x2) = 0

Factor a trinomial.
X((-4 + -1x)(1 + -2x)) = 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 '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Add 'x' to each side of the equation.
-1x + x = 4 + x

Combine like terms: -1x + x = 0
0 = 4 + x

Simplifying
0 = 4 + 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 '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Add '2x' to each side of the equation.
-2x + 2x = -1 + 2x

Combine like terms: -2x + 2x = 0
0 = -1 + 2x

Simplifying
0 = -1 + 2x

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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