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

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


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

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

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

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

Combine like terms: -4x + -3x = -7x
x(12 + -7x + x2) = 0
(12 * x + -7x * x + x2 * x) = 0
(12x + -7x2 + x3) = 0

Solving
12x + -7x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + -7x + x2) = 0

Factor a trinomial.
x((3 + -1x)(4 + -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 '(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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 3
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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, 3, 4}

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