4x(x-3)(x+6)=0

Simple and best practice solution for 4x(x-3)(x+6)=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 4x(x-3)(x+6)=0 equation: 


Simplifying
4x(x + -3)(x + 6) = 0

Reorder the terms:
4x(-3 + x)(x + 6) = 0

Reorder the terms:
4x(-3 + x)(6 + x) = 0

Multiply (-3 + x) * (6 + x)
4x(-3(6 + x) + x(6 + x)) = 0
4x((6 * -3 + x * -3) + x(6 + x)) = 0
4x((-18 + -3x) + x(6 + x)) = 0
4x(-18 + -3x + (6 * x + x * x)) = 0
4x(-18 + -3x + (6x + x2)) = 0

Combine like terms: -3x + 6x = 3x
4x(-18 + 3x + x2) = 0
(-18 * 4x + 3x * 4x + x2 * 4x) = 0
(-72x + 12x2 + 4x3) = 0

Solving
-72x + 12x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-18 + 3x + x2) = 0

Factor a trinomial.
4x((-6 + -1x)(3 + -1x)) = 0

Ignore the factor 4.

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 '(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
Solution
x = {0, -6, 3}

See similar equations:

| 4x+1*7= | | x-x(.10)=25 | | 5+2(n-3)=19 | | x+x(.10)=25 | | v=4x3.1416x0.343/3 | | 4(7n+12)=132 | | (9*5)2=a | | 6(3+2)=p | | 0.27v-16=0.32v-2 | | 200x^2+18y^2=0 | | (7+8)+2=q | | 2(6+7)=s | | x+0.06x=34450 | | 4(9+1)=a | | 5(7+2)=a | | 4(2n-9)-7=5 | | X^5+32i=0 | | -a/-6--31=64 | | .627x+110=.125x+130 | | e^6=10 | | 81+36=c(c) | | 6=ln(6+4) | | 4r=224 | | y=4(1.05) | | -2n=15+n | | y=2(1.06) | | 0=-10b+27b-18 | | 18.40=x-.25x | | 6.32x+9=39.9424+3x | | 8x+3+2x=6x+3-x | | 6x^4-20x^3-16x^2=0 | | 150=2(x)+2(x) |

Equations solver categories