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

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


Simplifying
3x(-4x + -3)(3 + -1x) = 0

Reorder the terms:
3x(-3 + -4x)(3 + -1x) = 0

Multiply (-3 + -4x) * (3 + -1x)
3x(-3(3 + -1x) + -4x * (3 + -1x)) = 0
3x((3 * -3 + -1x * -3) + -4x * (3 + -1x)) = 0
3x((-9 + 3x) + -4x * (3 + -1x)) = 0
3x(-9 + 3x + (3 * -4x + -1x * -4x)) = 0
3x(-9 + 3x + (-12x + 4x2)) = 0

Combine like terms: 3x + -12x = -9x
3x(-9 + -9x + 4x2) = 0
(-9 * 3x + -9x * 3x + 4x2 * 3x) = 0
(-27x + -27x2 + 12x3) = 0

Solving
-27x + -27x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-9 + -9x + 4x2) = 0

Factor a trinomial.
3x((-3 + -4x)(3 + -1x)) = 0

Ignore the factor 3.

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 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 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 + -4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 0 + 3
-4x = 0 + 3

Combine like terms: 0 + 3 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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

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

Simplifying
x = 3
Solution
x = {0, -0.75, 3}

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