(5z+-7)(4z+5)=

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Solution for (5z+-7)(4z+5)= equation: 


Simplifying
(5z + -7)(4z + 5) = 0

Reorder the terms:
(-7 + 5z)(4z + 5) = 0

Reorder the terms:
(-7 + 5z)(5 + 4z) = 0

Multiply (-7 + 5z) * (5 + 4z)
(-7(5 + 4z) + 5z * (5 + 4z)) = 0
((5 * -7 + 4z * -7) + 5z * (5 + 4z)) = 0
((-35 + -28z) + 5z * (5 + 4z)) = 0
(-35 + -28z + (5 * 5z + 4z * 5z)) = 0
(-35 + -28z + (25z + 20z2)) = 0

Combine like terms: -28z + 25z = -3z
(-35 + -3z + 20z2) = 0

Solving
-35 + -3z + 20z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-5 + -4z)(7 + -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 '(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
Solution
z = {-1.25, 1.4}

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