4z(z+9)(z+3)=0

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


Simplifying
4z(z + 9)(z + 3) = 0

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

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

Multiply (9 + z) * (3 + z)
4z(9(3 + z) + z(3 + z)) = 0
4z((3 * 9 + z * 9) + z(3 + z)) = 0
4z((27 + 9z) + z(3 + z)) = 0
4z(27 + 9z + (3 * z + z * z)) = 0
4z(27 + 9z + (3z + z2)) = 0

Combine like terms: 9z + 3z = 12z
4z(27 + 12z + z2) = 0
(27 * 4z + 12z * 4z + z2 * 4z) = 0
(108z + 48z2 + 4z3) = 0

Solving
108z + 48z2 + 4z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '4z'.
4z(27 + 12z + z2) = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0

Subproblem 2

Set the factor '(9 + z)' equal to zero and attempt to solve: Simplifying 9 + z = 0 Solving 9 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + z = 0 + -9 z = 0 + -9 Combine like terms: 0 + -9 = -9 z = -9 Simplifying z = -9

Subproblem 3

Set the factor '(3 + z)' equal to zero and attempt to solve: Simplifying 3 + z = 0 Solving 3 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + z = 0 + -3 z = 0 + -3 Combine like terms: 0 + -3 = -3 z = -3 Simplifying z = -3

Solution

z = {0, -9, -3}

See similar equations:

| w=9000-250 | | N+(15+28)=109 | | 6-4=3p+5p | | 5m+17=m+1 | | 35t-16t^2=18 | | 2x^8-10x^7+14x^6= | | x^2-x-2446=0 | | 4(-4-i)-(5i)(8i)= | | 5p+3p=4+6 | | 3x+4(2x-2)=113 | | x-30+(8-x)*2=6x-7*(x+2) | | 2-6+(1-7i)= | | 2(x+5)=2x+9 | | 1+3x=2/3 | | p-2.99=37.2 | | -12n=10-8n | | 4x^3=-9x^2 | | -110=7x+3(-6x-11) | | 2x+0.25x=90 | | -110=7x+3(-6-11) | | x+4y=190 | | 3x-7=63-7x | | 4x+6=77 | | c^4+9c^3+20=0 | | x^4-6x^3=0 | | v=(1.5)(2.4)(1.1) | | 37.2=p-2.99 | | 2x-6=19+7x | | 3b+2a=141 | | 1/4t+8=1 | | -44+x=-56 | | 3x^2-2y^2-xy=0 |

Equations solver categories