-3(z+2)(-z+8)=0

Simple and best practice solution for -3(z+2)(-z+8)=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 -3(z+2)(-z+8)=0 equation: 


Simplifying
-3(z + 2)(-1z + 8) = 0

Reorder the terms:
-3(2 + z)(-1z + 8) = 0

Reorder the terms:
-3(2 + z)(8 + -1z) = 0

Multiply (2 + z) * (8 + -1z)
-3(2(8 + -1z) + z(8 + -1z)) = 0
-3((8 * 2 + -1z * 2) + z(8 + -1z)) = 0
-3((16 + -2z) + z(8 + -1z)) = 0
-3(16 + -2z + (8 * z + -1z * z)) = 0
-3(16 + -2z + (8z + -1z2)) = 0

Combine like terms: -2z + 8z = 6z
-3(16 + 6z + -1z2) = 0
(16 * -3 + 6z * -3 + -1z2 * -3) = 0
(-48 + -18z + 3z2) = 0

Solving
-48 + -18z + 3z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-16 + -6z + z2) = 0

Factor a trinomial.
3((-2 + -1z)(8 + -1z)) = 0

Ignore the factor 3.

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

Simplifying
-2 + -1z = 0

Solving
-2 + -1z = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1z = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1z = 0 + 2
-1z = 0 + 2

Combine like terms: 0 + 2 = 2
-1z = 2

Divide each side by '-1'.
z = -2

Simplifying
z = -2

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
Solution
z = {-2, 8}

See similar equations:

| 1.3=3x | | 0.01(x-8)=150 | | x^2-kx+4k-6=0 | | -2x=3x+12-2x | | 4x(x+3)=-5 | | (10*10*10)*25= | | 83+x=119 | | -6(0.1x+0.2)-2.6=-0.2 | | 3c-2c+5=12 | | (L)(L)=L^2 | | 16-w=11 | | 7+5c=(-23) | | 3-s=6 | | 6y+21-2y=3 | | -4(3a-6)=5 | | 17h-9h=-8 | | 0.11(3.45x-2.80)=8.83 | | 8-p=-1 | | 76-x=56 | | -4(3a-6)= | | -7(x+3)=-4(6+3x)+19x | | -20k-9k=-11 | | 5n^2+25= | | 11-2(4x+2)=5(x+4) | | 2(x+3)+5x=27 | | 21=7(m-2) | | 5(u-7)-7u=-31 | | -3u+12=-3(u-4) | | 9(-x-5)+5(x+7)= | | 2.7+x=0.7 | | 26=-3v+5(v+2) | | 10a-2/3=2/7 |

Equations solver categories