-3x(x+4)(x+9)=0

Simple and best practice solution for -3x(x+4)(x+9)=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 -3x(x+4)(x+9)=0 equation: 


Simplifying
-3x(x + 4)(x + 9) = 0

Reorder the terms:
-3x(4 + x)(x + 9) = 0

Reorder the terms:
-3x(4 + x)(9 + x) = 0

Multiply (4 + x) * (9 + x)
-3x(4(9 + x) + x(9 + x)) = 0
-3x((9 * 4 + x * 4) + x(9 + x)) = 0
-3x((36 + 4x) + x(9 + x)) = 0
-3x(36 + 4x + (9 * x + x * x)) = 0
-3x(36 + 4x + (9x + x2)) = 0

Combine like terms: 4x + 9x = 13x
-3x(36 + 13x + x2) = 0
(36 * -3x + 13x * -3x + x2 * -3x) = 0
(-108x + -39x2 + -3x3) = 0

Solving
-108x + -39x2 + -3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3x'.
-3x(36 + 13x + x2) = 0

Factor a trinomial.
-3x((9 + x)(4 + x)) = 0

Ignore the factor -3.

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 '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9

Subproblem 3
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0, -9, -4}

See similar equations:

| 8+7=3x-15 | | (6+x)(2x+1)=0 | | x^2+4y^2+20x-40y+300=0 | | 6(k+1)-(-2k-5)=7k | | 3x/2-2y=5 | | x^2+4y^2+20x-40+300=0 | | 4(y-8)=5+5y | | 1/3x-9=-12 | | 20-(2x+6)=5(2-x)2x | | 9z-11-32+5=0 | | 2x+26-9=x | | x/3-3y=6 | | 20x+40=21x-10 | | 2x+1+7=x | | -5(n-9)-(1+4n)=-10n | | 2x+5-1=x | | -3x+4(-3/4)x-4=-16 | | x/2+6x+2=7 | | x/2+6x+2-7 | | 8x-6=(x+1)+3x-11 | | 2(4x+7)=-28+18 | | 10-(3z-9)=7-4 | | 2/3x=1 | | 4x^3+3x^2-36x-27=0 | | 6(x+5)/4=2x-1 | | 3x-8=8x-20 | | 6(x-2)=2x+4(-4+x) | | 2/3*3 | | 2/5x-9=-3/5x+3 | | z^2-4/7z+c | | 7/15*1/2*3/14 | | 8x+8=9x-2 |

Equations solver categories