5x^3(3x^2-3x+5)=

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Solution for 5x^3(3x^2-3x+5)= equation: 


Simplifying
5x3(3x2 + -3x + 5) = 0

Reorder the terms:
5x3(5 + -3x + 3x2) = 0
(5 * 5x3 + -3x * 5x3 + 3x2 * 5x3) = 0
(25x3 + -15x4 + 15x5) = 0

Solving
25x3 + -15x4 + 15x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x3'.
5x3(5 + -3x + 3x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5 + -3x + 3x2)' equal to zero and attempt to solve:

Simplifying
5 + -3x + 3x2 = 0

Solving
5 + -3x + 3x2 = 0

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

Divide each side by '3'.
1.666666667 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -1x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -1x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -1x + x2 = 0 + -1.666666667
-1x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-1x + x2 = -1.666666667

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.666666667 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.666666667 + 0.25

Combine like terms: -1.666666667 + 0.25 = -1.416666667
0.25 + -1x + x2 = -1.416666667

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.416666667

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.

The solution to this equation could not be determined.

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