(x^3-6x^2+13x)=0

Simple and best practice solution for (x^3-6x^2+13x)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (x^3-6x^2+13x)=0 equation: 


Simplifying
(x3 + -6x2 + 13x) = 0

Reorder the terms:
(13x + -6x2 + x3) = 0

Remove parenthesis around (13x + -6x2 + x3)
13x + -6x2 + x3 = 0

Solving
13x + -6x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + -6x + x2) = 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 '(13 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
13 + -6x + x2 = 0

Solving
13 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -6x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -6x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6x + x2 = 0 + -13
-6x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-6x + x2 = -13

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -13 + 9

Reorder the terms:
9 + -6x + x2 = -13 + 9

Combine like terms: -13 + 9 = -4
9 + -6x + x2 = -4

Factor a perfect square on the left side:
(x + -3)(x + -3) = -4

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}

See similar equations:

| 17=x^3-6x^2+17 | | 3.5x-5.05=5.1 | | 3.7x-5.05=5.1 | | 11(7c-1)-12=75c+11 | | -13x/16 | | 3(x-1)/22x/5-5 | | 2a*(-4a)*(-3a)= | | 11x-14/5 | | 2.8x-12.6=5.2 | | 6/8=9/n | | B=F/p-v | | -6/8x=1/8x-14 | | 3-5x-8x+3= | | -(-6y-7z+3)= | | b*(-b^2)*-b^4= | | 27x+19-39x=-64 | | 9x+10=2x+5 | | 9-5/4x=4 | | 5t-3=2t-9 | | lnx=0.34 | | x,3=30,5 | | 5.6+0.6x=0.3x-1.3 | | 52-3=-2w+4w+5w | | -a*a^2= | | 1/4x-24=2x-3 | | 6(x+3)+6=2x+4(5+x) | | 7x^2-6x+7= | | 4x+11=2x+1 | | 49-6x+7= | | 2x^2-7ax+3a^2=0 | | lnx^5=10 | | Y/4-3=-5 |

Equations solver categories