(9+z)(5z-2)=0

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Solution for (9+z)(5z-2)=0 equation: 


Simplifying
(9 + z)(5z + -2) = 0

Reorder the terms:
(9 + z)(-2 + 5z) = 0

Multiply (9 + z) * (-2 + 5z)
(9(-2 + 5z) + z(-2 + 5z)) = 0
((-2 * 9 + 5z * 9) + z(-2 + 5z)) = 0
((-18 + 45z) + z(-2 + 5z)) = 0
(-18 + 45z + (-2 * z + 5z * z)) = 0
(-18 + 45z + (-2z + 5z2)) = 0

Combine like terms: 45z + -2z = 43z
(-18 + 43z + 5z2) = 0

Solving
-18 + 43z + 5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-9 + -1z)(2 + -5z) = 0


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

Simplifying
-9 + -1z = 0

Solving
-9 + -1z = 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 + -1z = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1z = 0 + 9
-1z = 0 + 9

Combine like terms: 0 + 9 = 9
-1z = 9

Divide each side by '-1'.
z = -9

Simplifying
z = -9

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

Simplifying
2 + -5z = 0

Solving
2 + -5z = 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 + -5z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5z = 0 + -2
-5z = 0 + -2

Combine like terms: 0 + -2 = -2
-5z = -2

Divide each side by '-5'.
z = 0.4

Simplifying
z = 0.4
Solution
z = {-9, 0.4}

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