(7z+8)(9z-2)=0

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Solution for (7z+8)(9z-2)=0 equation: 


Simplifying
(7z + 8)(9z + -2) = 0

Reorder the terms:
(8 + 7z)(9z + -2) = 0

Reorder the terms:
(8 + 7z)(-2 + 9z) = 0

Multiply (8 + 7z) * (-2 + 9z)
(8(-2 + 9z) + 7z * (-2 + 9z)) = 0
((-2 * 8 + 9z * 8) + 7z * (-2 + 9z)) = 0
((-16 + 72z) + 7z * (-2 + 9z)) = 0
(-16 + 72z + (-2 * 7z + 9z * 7z)) = 0
(-16 + 72z + (-14z + 63z2)) = 0

Combine like terms: 72z + -14z = 58z
(-16 + 58z + 63z2) = 0

Solving
-16 + 58z + 63z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-8 + -7z)(2 + -9z) = 0


Subproblem 1
Set the factor '(-8 + -7z)' equal to zero and attempt to solve:

Simplifying
-8 + -7z = 0

Solving
-8 + -7z = 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 + -7z = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7z = 0 + 8
-7z = 0 + 8

Combine like terms: 0 + 8 = 8
-7z = 8

Divide each side by '-7'.
z = -1.142857143

Simplifying
z = -1.142857143

Subproblem 2
Set the factor '(2 + -9z)' equal to zero and attempt to solve:

Simplifying
2 + -9z = 0

Solving
2 + -9z = 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 + -9z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9z = 0 + -2
-9z = 0 + -2

Combine like terms: 0 + -2 = -2
-9z = -2

Divide each side by '-9'.
z = 0.2222222222

Simplifying
z = 0.2222222222
Solution
z = {-1.142857143, 0.2222222222}

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