4x[3x^2-5(x-3)]=

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Solution for 4x[3x^2-5(x-3)]= equation: 


Simplifying
4x[3x2 + -5(x + -3)] = 0

Reorder the terms:
4x[3x2 + -5(-3 + x)] = 0
4x[3x2 + (-3 * -5 + x * -5)] = 0
4x[3x2 + (15 + -5x)] = 0

Reorder the terms:
4x[15 + -5x + 3x2] = 0
[15 * 4x + -5x * 4x + 3x2 * 4x] = 0
[60x + -20x2 + 12x3] = 0

Solving
60x + -20x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(15 + -5x + 3x2) = 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 '(15 + -5x + 3x2)' equal to zero and attempt to solve:

Simplifying
15 + -5x + 3x2 = 0

Solving
15 + -5x + 3x2 = 0

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

Divide each side by '3'.
5 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -1.666666667x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -1.666666667x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1.666666667x + x2 = 0 + -5
-1.666666667x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1.666666667x + x2 = -5

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -5 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -5 + 0.6944444447

Combine like terms: -5 + 0.6944444447 = -4.3055555553
0.6944444447 + -1.666666667x + x2 = -4.3055555553

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -4.3055555553

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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