(-z+8)(-5z+7)=0

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Solution for (-z+8)(-5z+7)=0 equation: 


Simplifying
(-1z + 8)(-5z + 7) = 0

Reorder the terms:
(8 + -1z)(-5z + 7) = 0

Reorder the terms:
(8 + -1z)(7 + -5z) = 0

Multiply (8 + -1z) * (7 + -5z)
(8(7 + -5z) + -1z * (7 + -5z)) = 0
((7 * 8 + -5z * 8) + -1z * (7 + -5z)) = 0
((56 + -40z) + -1z * (7 + -5z)) = 0
(56 + -40z + (7 * -1z + -5z * -1z)) = 0
(56 + -40z + (-7z + 5z2)) = 0

Combine like terms: -40z + -7z = -47z
(56 + -47z + 5z2) = 0

Solving
56 + -47z + 5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(7 + -5z)(8 + -1z) = 0


Subproblem 1
Set the factor '(7 + -5z)' equal to zero and attempt to solve:

Simplifying
7 + -5z = 0

Solving
7 + -5z = 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 + -5z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5z = 0 + -7
-5z = 0 + -7

Combine like terms: 0 + -7 = -7
-5z = -7

Divide each side by '-5'.
z = 1.4

Simplifying
z = 1.4

Subproblem 2
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
Solution
z = {1.4, 8}

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