-5z(z-8)(z+9)=0

Simple and best practice solution for -5z(z-8)(z+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 -5z(z-8)(z+9)=0 equation: 


Simplifying
-5z(z + -8)(z + 9) = 0

Reorder the terms:
-5z(-8 + z)(z + 9) = 0

Reorder the terms:
-5z(-8 + z)(9 + z) = 0

Multiply (-8 + z) * (9 + z)
-5z(-8(9 + z) + z(9 + z)) = 0
-5z((9 * -8 + z * -8) + z(9 + z)) = 0
-5z((-72 + -8z) + z(9 + z)) = 0
-5z(-72 + -8z + (9 * z + z * z)) = 0
-5z(-72 + -8z + (9z + z2)) = 0

Combine like terms: -8z + 9z = 1z
-5z(-72 + 1z + z2) = 0
(-72 * -5z + 1z * -5z + z2 * -5z) = 0
(360z + -5z2 + -5z3) = 0

Solving
360z + -5z2 + -5z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '5z'.
5z(72 + -1z + -1z2) = 0

Factor a trinomial.
5z((8 + -1z)(9 + z)) = 0

Ignore the factor 5.

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 '(8 + -1z)' equal to zero and attempt to solve:

Simplifying
8 + -1z = 0

Solving
8 + -1z = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1z = 0 + -8
-1z = 0 + -8

Combine like terms: 0 + -8 = -8
-1z = -8

Divide each side by '-1'.
z = 8

Simplifying
z = 8

Subproblem 3
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
Solution
z = {0, 8, -9}

See similar equations:

| 2x-5(x-4)=-6+4x-2 | | 2x/ | | -9(7a+12)=-9(a+6) | | 8x+64=112 | | 8x+8=112 | | 2(3m-1)=10 | | 2+7x=4-3x | | 7(2a+4)+5(6a-1)= | | C=5/9(54) | | 10x+3x=21 | | 1/3h-4(2/3h-3)=6(t-7)-8 | | y^3+2y-1=0 | | 2m+3n+4m-2n= | | 8+7(4+6x)=9(7x+4) | | (3-2x)=29 | | -2x+2(-3x-9)=78 | | x^2-0.6x+.09= | | d+22.50=71.25 | | 3n+5=13 | | 8(cos^2)-2cos=1 | | 5/2(100%/1)=5/2(100%/1) | | xy=k/z | | 2x+700=3x+500 | | -x=5/8 | | -7/8w=0 | | -8/3y=4/7 | | 3/5y-2/5y=-2/5-6/5 | | -6x=5/2 | | 9/8z=3/1 | | y/-2=0 | | 3(5x-4)-4(2x-16)=6x+12 | | 0.16(y-6)+0.06y=0.14y-0.4 |

Equations solver categories