x^3-15x^2+54x=0

Simple and best practice solution for x^3-15x^2+54x=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^3-15x^2+54x=0 equation:


Simplifying
x3 + -15x2 + 54x = 0

Reorder the terms:
54x + -15x2 + x3 = 0

Solving
54x + -15x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(54 + -15x + x2) = 0

Factor a trinomial.
x((6 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {0, 6, 9}

See similar equations:

| 0.01x+0.14(x+5000)=850 | | 13.12+.12x=13.62-.09x | | 0.3x+0.57=0.125-0.67+0.125 | | 4x^3-14x^2+10x= | | (x+8)(x+8)=-49 | | 2g+-12g-3=17 | | (x+9)(x-1)=33 | | 6x-21=3x+12 | | 2(3x-8)=8(2x+1) | | -9k+-11k+-20=0 | | 7x-6+15x+10=180 | | r^2+r-240=0 | | (9x+11)(x+9)=79 | | -4x=-2x-4 | | 14(x-4)+7x=7(3x+4)-9 | | 21x^2+6x= | | 3.9q-1.3-5.5q=2.6q-4.4 | | 157=4x+10+14x+3 | | 12x=150+21x | | -27x=31 | | 2w^2-12w+16=0 | | X=-4-5i | | -5x(3xy+5y-4)= | | x^3+6x^2-x-6=0 | | 3.2x=2.5x+4.9 | | 4x+13=3x+8 | | 78=6x+3(-6x+2) | | 10y^3+45y^2-25y=0 | | -5x-12=-12x-9 | | x^2-8x-9w^2+16=0 | | -8s-42+2(4s+22)=0 | | -2((4p+1)-(3p-1))=5(3-p)-9 |

Equations solver categories