(11z-2)(10z+9)=0

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Solution for (11z-2)(10z+9)=0 equation: 


Simplifying
(11z + -2)(10z + 9) = 0

Reorder the terms:
(-2 + 11z)(10z + 9) = 0

Reorder the terms:
(-2 + 11z)(9 + 10z) = 0

Multiply (-2 + 11z) * (9 + 10z)
(-2(9 + 10z) + 11z * (9 + 10z)) = 0
((9 * -2 + 10z * -2) + 11z * (9 + 10z)) = 0
((-18 + -20z) + 11z * (9 + 10z)) = 0
(-18 + -20z + (9 * 11z + 10z * 11z)) = 0
(-18 + -20z + (99z + 110z2)) = 0

Combine like terms: -20z + 99z = 79z
(-18 + 79z + 110z2) = 0

Solving
-18 + 79z + 110z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-9 + -10z)(2 + -11z) = 0


Subproblem 1
Set the factor '(-9 + -10z)' equal to zero and attempt to solve:

Simplifying
-9 + -10z = 0

Solving
-9 + -10z = 0

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

Add '9' to each side of the equation.
-9 + 9 + -10z = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -10z = 0 + 9
-10z = 0 + 9

Combine like terms: 0 + 9 = 9
-10z = 9

Divide each side by '-10'.
z = -0.9

Simplifying
z = -0.9

Subproblem 2
Set the factor '(2 + -11z)' equal to zero and attempt to solve:

Simplifying
2 + -11z = 0

Solving
2 + -11z = 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 + -11z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -11z = 0 + -2
-11z = 0 + -2

Combine like terms: 0 + -2 = -2
-11z = -2

Divide each side by '-11'.
z = 0.1818181818

Simplifying
z = 0.1818181818
Solution
z = {-0.9, 0.1818181818}

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