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

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


Simplifying
-5x(3x2 + -2x + 5) = 0

Reorder the terms:
-5x(5 + -2x + 3x2) = 0
(5 * -5x + -2x * -5x + 3x2 * -5x) = 0
(-25x + 10x2 + -15x3) = 0

Solving
-25x + 10x2 + -15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-5 + 2x + -3x2) = 0

Ignore the factor 5.

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

Simplifying
-5 + 2x + -3x2 = 0

Solving
-5 + 2x + -3x2 = 0

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

Divide each side by '-3'.
1.666666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -0.6666666667x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -0.6666666667x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -1.666666667
-0.6666666667x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-0.6666666667x + x2 = -1.666666667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -1.666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -1.666666667 + 0.1111111112

Combine like terms: -1.666666667 + 0.1111111112 = -1.5555555558
0.1111111112 + -0.6666666667x + x2 = -1.5555555558

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -1.5555555558

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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