3x[4x^2-3(x-3)]=

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Solution for 3x[4x^2-3(x-3)]= equation: 


Simplifying
3x[4x2 + -3(x + -3)] = 0

Reorder the terms:
3x[4x2 + -3(-3 + x)] = 0
3x[4x2 + (-3 * -3 + x * -3)] = 0
3x[4x2 + (9 + -3x)] = 0

Reorder the terms:
3x[9 + -3x + 4x2] = 0
[9 * 3x + -3x * 3x + 4x2 * 3x] = 0
[27x + -9x2 + 12x3] = 0

Solving
27x + -9x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(9 + -3x + 4x2) = 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 '(9 + -3x + 4x2)' equal to zero and attempt to solve:

Simplifying
9 + -3x + 4x2 = 0

Solving
9 + -3x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
2.25 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -0.75x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -0.75x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -0.75x + x2 = 0 + -2.25
-0.75x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-0.75x + x2 = -2.25

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -2.25 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -2.25 + 0.140625

Combine like terms: -2.25 + 0.140625 = -2.109375
0.140625 + -0.75x + x2 = -2.109375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -2.109375

Can't calculate square root of the right side.

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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