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

Simple and best practice solution for (x^2)(x-6)(x-3)=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^2)(x-6)(x-3)=0 equation: 


Simplifying
(x2)(x + -6)(x + -3) = 0

Reorder the terms:
x2(-6 + x)(x + -3) = 0

Reorder the terms:
x2(-6 + x)(-3 + x) = 0

Multiply (-6 + x) * (-3 + x)
x2(-6(-3 + x) + x(-3 + x)) = 0
x2((-3 * -6 + x * -6) + x(-3 + x)) = 0
x2((18 + -6x) + x(-3 + x)) = 0
x2(18 + -6x + (-3 * x + x * x)) = 0
x2(18 + -6x + (-3x + x2)) = 0

Combine like terms: -6x + -3x = -9x
x2(18 + -9x + x2) = 0
(18 * x2 + -9x * x2 + x2 * x2) = 0
(18x2 + -9x3 + x4) = 0

Solving
18x2 + -9x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(18 + -9x + x2) = 0

Factor a trinomial.
x2((3 + -1x)(6 + -1x)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 3
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
Solution
x = {0, 3, 6}

See similar equations:

| 0.3x+1.2y=2.4 | | 7x+3x-2=17 | | x^2-2x-12=1 | | 6+z= | | 3(2/3+15)=-2x+7 | | k/-3=11 | | (7x-6)(2x+9)= | | -5/26+a=-7/13 | | 9k^2+24k-48=0 | | -3+4x=12 | | 7+2c-4=-9 | | 18x^2+0x+18=0 | | C/5+2=42 | | y=5-2/3x | | J+5/8=11/16 | | 3c^2+8c-9+c-3+13c^2-5c+9= | | 4/9=2q | | 39=7a+11 | | 14m-9-5m=9 | | 17/18-8/9 | | a/y=a | | 2y+10=12 | | 4b^2+8b+12=-5 | | x+3=-2x+10 | | -40*5= | | 5y+4=x | | 0=4x^2+7x+8 | | 2Y+6=4X | | y=4x^2+7x+8 | | -16x^2+26x+5=h | | X=2.25y/z | | X^4+12x^2-64=y |

Equations solver categories