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

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Solution for (8-z)(5z+9)=0 equation: 


Simplifying
(8 + -1z)(5z + 9) = 0

Reorder the terms:
(8 + -1z)(9 + 5z) = 0

Multiply (8 + -1z) * (9 + 5z)
(8(9 + 5z) + -1z * (9 + 5z)) = 0
((9 * 8 + 5z * 8) + -1z * (9 + 5z)) = 0
((72 + 40z) + -1z * (9 + 5z)) = 0
(72 + 40z + (9 * -1z + 5z * -1z)) = 0
(72 + 40z + (-9z + -5z2)) = 0

Combine like terms: 40z + -9z = 31z
(72 + 31z + -5z2) = 0

Solving
72 + 31z + -5z2 = 0

Solving for variable 'z'.

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


Subproblem 1
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 2
Set the factor '(9 + 5z)' equal to zero and attempt to solve:

Simplifying
9 + 5z = 0

Solving
9 + 5z = 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 + 5z = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5z = 0 + -9
5z = 0 + -9

Combine like terms: 0 + -9 = -9
5z = -9

Divide each side by '5'.
z = -1.8

Simplifying
z = -1.8
Solution
z = {8, -1.8}

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