(8-z)(3z-7)=0

Simple and best practice solution for (8-z)(3z-7)=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 (8-z)(3z-7)=0 equation: 


Simplifying
(8 + -1z)(3z + -7) = 0

Reorder the terms:
(8 + -1z)(-7 + 3z) = 0

Multiply (8 + -1z) * (-7 + 3z)
(8(-7 + 3z) + -1z * (-7 + 3z)) = 0
((-7 * 8 + 3z * 8) + -1z * (-7 + 3z)) = 0
((-56 + 24z) + -1z * (-7 + 3z)) = 0
(-56 + 24z + (-7 * -1z + 3z * -1z)) = 0
(-56 + 24z + (7z + -3z2)) = 0

Combine like terms: 24z + 7z = 31z
(-56 + 31z + -3z2) = 0

Solving
-56 + 31z + -3z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-8 + z)(7 + -3z) = 0


Subproblem 1
Set the factor '(-8 + z)' equal to zero and attempt to solve:

Simplifying
-8 + z = 0

Solving
-8 + z = 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 + z = 0 + 8

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

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

Simplifying
z = 8

Subproblem 2
Set the factor '(7 + -3z)' equal to zero and attempt to solve:

Simplifying
7 + -3z = 0

Solving
7 + -3z = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3z = 0 + -7
-3z = 0 + -7

Combine like terms: 0 + -7 = -7
-3z = -7

Divide each side by '-3'.
z = 2.333333333

Simplifying
z = 2.333333333
Solution
z = {8, 2.333333333}

See similar equations:

| 5t^2-t-4=0 | | 56=240+8z | | 3/8m=11/6 | | (27×^6)2/3 | | cos(2*x)+cos(3*x)=0 | | 14=4x-8-3x | | 3212=44p+132 | | (3y/6y-12)-(2y/y-2) | | 11736.1519=4/3*3.14*r^3 | | 12.5x=-62.5 | | 9j-6h=-5+1 | | -47x+10x=24-48 | | 13y-9y-5=78.12 | | 3m^2-13m=14 | | 12x=-62.5 | | 2c=c+19 | | n/4=11/3 | | 2c=13+c | | 5(5k+15)= | | t=21.69+3s | | 23216.0422=4/3*3.14*r^3 | | 10+-8=h | | t=3s+21.69 | | 4x-12x+12=14x-6x+6 | | In(x-4)=2 | | 14(X+2)= | | 6p^2+1=529 | | -w^2=576 | | 3(x+9)=7(x+5) | | 2x^2-x-185=0 | | 13x-3x=90 | | 11x^22=891 |

Equations solver categories