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

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


Simplifying
(5 + -1z)(5z + 8) = 0

Reorder the terms:
(5 + -1z)(8 + 5z) = 0

Multiply (5 + -1z) * (8 + 5z)
(5(8 + 5z) + -1z * (8 + 5z)) = 0
((8 * 5 + 5z * 5) + -1z * (8 + 5z)) = 0
((40 + 25z) + -1z * (8 + 5z)) = 0
(40 + 25z + (8 * -1z + 5z * -1z)) = 0
(40 + 25z + (-8z + -5z2)) = 0

Combine like terms: 25z + -8z = 17z
(40 + 17z + -5z2) = 0

Solving
40 + 17z + -5z2 = 0

Solving for variable 'z'.

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


Subproblem 1
Set the factor '(5 + -1z)' equal to zero and attempt to solve:

Simplifying
5 + -1z = 0

Solving
5 + -1z = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1z = 0 + -5
-1z = 0 + -5

Combine like terms: 0 + -5 = -5
-1z = -5

Divide each side by '-1'.
z = 5

Simplifying
z = 5

Subproblem 2
Set the factor '(8 + 5z)' equal to zero and attempt to solve:

Simplifying
8 + 5z = 0

Solving
8 + 5z = 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 + 5z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5z = 0 + -8
5z = 0 + -8

Combine like terms: 0 + -8 = -8
5z = -8

Divide each side by '5'.
z = -1.6

Simplifying
z = -1.6
Solution
z = {5, -1.6}

See similar equations:

| 4x^2+9x+16=0 | | 12x^2+174x+756=0 | | m-20=11 | | m^2+7m+6= | | 2h+3=3h-2 | | a+-63=19 | | 6(x+3)+5x= | | -2(4y-10)-y=-3(y-4) | | y=9x^2-4x+5 | | y^2+16y+15= | | -9(y+8)=4y+19 | | 2x+10x+5=0 | | 8*cos*2*x=1 | | n^2+17n+16= | | Y=2x^2+4-3 | | 4x-20=6(x-5) | | 5(x+4)+3= | | (3+x)-x=21 | | x+2(5)=2 | | t+-56=41 | | -2(u+5)=-5u-40 | | (3xy+9xy+5xy-xy)= | | 4(3d-2e)-(2d-5e)= | | (3xy+9xy+5zy-xy)= | | 57+37=24 | | 4+55x=33x+10 | | x+7+x=x+1+x-3 | | 38+b=-47 | | 2(1.5m+3)=3.5 | | x-8.7=-6.6 | | C^4-5c^2+6=0 | | -3u+21=-6(u-1) |

Equations solver categories