(8z+5)(7z+25)=

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Solution for (8z+5)(7z+25)= equation: 


Simplifying
(8z + 5)(7z + 25) = 0

Reorder the terms:
(5 + 8z)(7z + 25) = 0

Reorder the terms:
(5 + 8z)(25 + 7z) = 0

Multiply (5 + 8z) * (25 + 7z)
(5(25 + 7z) + 8z * (25 + 7z)) = 0
((25 * 5 + 7z * 5) + 8z * (25 + 7z)) = 0
((125 + 35z) + 8z * (25 + 7z)) = 0
(125 + 35z + (25 * 8z + 7z * 8z)) = 0
(125 + 35z + (200z + 56z2)) = 0

Combine like terms: 35z + 200z = 235z
(125 + 235z + 56z2) = 0

Solving
125 + 235z + 56z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(25 + 7z)(5 + 8z) = 0


Subproblem 1
Set the factor '(25 + 7z)' equal to zero and attempt to solve:

Simplifying
25 + 7z = 0

Solving
25 + 7z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-25' to each side of the equation.
25 + -25 + 7z = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 7z = 0 + -25
7z = 0 + -25

Combine like terms: 0 + -25 = -25
7z = -25

Divide each side by '7'.
z = -3.571428571

Simplifying
z = -3.571428571

Subproblem 2
Set the factor '(5 + 8z)' equal to zero and attempt to solve:

Simplifying
5 + 8z = 0

Solving
5 + 8z = 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 + 8z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8z = 0 + -5
8z = 0 + -5

Combine like terms: 0 + -5 = -5
8z = -5

Divide each side by '8'.
z = -0.625

Simplifying
z = -0.625
Solution
z = {-3.571428571, -0.625}

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