x^3-23x^2+102x=0

Simple and best practice solution for x^3-23x^2+102x=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^3-23x^2+102x=0 equation:


Simplifying
x3 + -23x2 + 102x = 0

Reorder the terms:
102x + -23x2 + x3 = 0

Solving
102x + -23x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(102 + -23x + x2) = 0

Factor a trinomial.
x((6 + -1x)(17 + -1x)) = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Subproblem 3

Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17

Solution

x = {0, 6, 17}

See similar equations:

| 40=2x-4 | | 8y+12=-7(y+9) | | x^3-23x^2+102=0 | | -4(w+2)=-2w-16 | | -6x+2=4(x+4) | | 3(u+6)=-3u+48 | | 11x+26=2x+242 | | 9y-3=3(y+5) | | -7u+3(u-3)=-33 | | 2=4v+7(v+5) | | 83-6x=12x+19 | | -LOG(X)=1.56 | | -LOGX=1.56 | | 24=4(x-4)-8x | | 7w+7=19w-3w+61 | | 9w-14=6w-2 | | -5u+6=-12u+62 | | 4y+53+5y=8 | | 7n+15=9n-9+4n | | 6x-15x-19=-91 | | 12+16+x= | | 650=9x+5y | | -2(v-7)=-9v-21 | | 8w-13=-9(w-8) | | 2(y+9)=5y-12 | | -18=2(y+3)-8y | | 4x+2y=148 | | 7k-3=5k+2 | | 8v+7(v-4)=-13 | | 2(w+4)+3w=-37 | | 4y^3-12y^2-40y= | | =4y^3-12y^2-40y |

Equations solver categories