(2x+3)(7x-3x)(4-1x)=

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Solution for (2x+3)(7x-3x)(4-1x)= equation: 


Simplifying
(2x + 3)(7x + -3x)(4 + -1x) = 0

Reorder the terms:
(3 + 2x)(7x + -3x)(4 + -1x) = 0

Combine like terms: 7x + -3x = 4x
(3 + 2x)(4x)(4 + -1x) = 0

Remove parenthesis around (4x)
(3 + 2x) * 4x(4 + -1x) = 0

Reorder the terms for easier multiplication:
4x(3 + 2x)(4 + -1x) = 0

Multiply (3 + 2x) * (4 + -1x)
4x(3(4 + -1x) + 2x * (4 + -1x)) = 0
4x((4 * 3 + -1x * 3) + 2x * (4 + -1x)) = 0
4x((12 + -3x) + 2x * (4 + -1x)) = 0
4x(12 + -3x + (4 * 2x + -1x * 2x)) = 0
4x(12 + -3x + (8x + -2x2)) = 0

Combine like terms: -3x + 8x = 5x
4x(12 + 5x + -2x2) = 0
(12 * 4x + 5x * 4x + -2x2 * 4x) = 0
(48x + 20x2 + -8x3) = 0

Solving
48x + 20x2 + -8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(12 + 5x + -2x2) = 0

Factor a trinomial.
4x((4 + -1x)(3 + 2x)) = 0

Ignore the factor 4.

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

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

Simplifying
x = 4

Subproblem 3
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0, 4, -1.5}

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