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

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


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

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

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

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

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

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

Solving
-9x + 9x2 + 4x3 = 0

Solving for variable 'x'.

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

Factor a trinomial.
x((-3 + -1x)(3 + -4x)) = 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 '(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
Solution
x = {0, -3, 0.75}

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