(5Z+9)(7-Z)=0

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Solution for (5Z+9)(7-Z)=0 equation: 


Simplifying
(5Z + 9)(7 + -1Z) = 0

Reorder the terms:
(9 + 5Z)(7 + -1Z) = 0

Multiply (9 + 5Z) * (7 + -1Z)
(9(7 + -1Z) + 5Z * (7 + -1Z)) = 0
((7 * 9 + -1Z * 9) + 5Z * (7 + -1Z)) = 0
((63 + -9Z) + 5Z * (7 + -1Z)) = 0
(63 + -9Z + (7 * 5Z + -1Z * 5Z)) = 0
(63 + -9Z + (35Z + -5Z2)) = 0

Combine like terms: -9Z + 35Z = 26Z
(63 + 26Z + -5Z2) = 0

Solving
63 + 26Z + -5Z2 = 0

Solving for variable 'Z'.

Factor a trinomial.
(7 + -1Z)(9 + 5Z) = 0


Subproblem 1
Set the factor '(7 + -1Z)' equal to zero and attempt to solve:

Simplifying
7 + -1Z = 0

Solving
7 + -1Z = 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 + -1Z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1Z = 0 + -7
-1Z = 0 + -7

Combine like terms: 0 + -7 = -7
-1Z = -7

Divide each side by '-1'.
Z = 7

Simplifying
Z = 7

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 = {7, -1.8}

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