(5z-8)(4z-5)=

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Solution for (5z-8)(4z-5)= equation: 


Simplifying
(5z + -8)(4z + -5) = 0

Reorder the terms:
(-8 + 5z)(4z + -5) = 0

Reorder the terms:
(-8 + 5z)(-5 + 4z) = 0

Multiply (-8 + 5z) * (-5 + 4z)
(-8(-5 + 4z) + 5z * (-5 + 4z)) = 0
((-5 * -8 + 4z * -8) + 5z * (-5 + 4z)) = 0
((40 + -32z) + 5z * (-5 + 4z)) = 0
(40 + -32z + (-5 * 5z + 4z * 5z)) = 0
(40 + -32z + (-25z + 20z2)) = 0

Combine like terms: -32z + -25z = -57z
(40 + -57z + 20z2) = 0

Solving
40 + -57z + 20z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(5 + -4z)(8 + -5z) = 0


Subproblem 1
Set the factor '(5 + -4z)' equal to zero and attempt to solve:

Simplifying
5 + -4z = 0

Solving
5 + -4z = 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 + -4z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4z = 0 + -5
-4z = 0 + -5

Combine like terms: 0 + -5 = -5
-4z = -5

Divide each side by '-4'.
z = 1.25

Simplifying
z = 1.25

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 = {1.25, 1.6}

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