-(3z-9)(3z-2)=

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Solution for -(3z-9)(3z-2)= equation: 


Simplifying
-1(3z + -9)(3z + -2) = 0

Reorder the terms:
-1(-9 + 3z)(3z + -2) = 0

Reorder the terms:
-1(-9 + 3z)(-2 + 3z) = 0

Multiply (-9 + 3z) * (-2 + 3z)
-1(-9(-2 + 3z) + 3z * (-2 + 3z)) = 0
-1((-2 * -9 + 3z * -9) + 3z * (-2 + 3z)) = 0
-1((18 + -27z) + 3z * (-2 + 3z)) = 0
-1(18 + -27z + (-2 * 3z + 3z * 3z)) = 0
-1(18 + -27z + (-6z + 9z2)) = 0

Combine like terms: -27z + -6z = -33z
-1(18 + -33z + 9z2) = 0
(18 * -1 + -33z * -1 + 9z2 * -1) = 0
(-18 + 33z + -9z2) = 0

Solving
-18 + 33z + -9z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + 11z + -3z2) = 0

Factor a trinomial.
3((-3 + z)(2 + -3z)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + z)' equal to zero and attempt to solve:

Simplifying
-3 + z = 0

Solving
-3 + z = 0

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

Add '3' to each side of the equation.
-3 + 3 + z = 0 + 3

Combine like terms: -3 + 3 = 0
0 + z = 0 + 3
z = 0 + 3

Combine like terms: 0 + 3 = 3
z = 3

Simplifying
z = 3

Subproblem 2
Set the factor '(2 + -3z)' equal to zero and attempt to solve:

Simplifying
2 + -3z = 0

Solving
2 + -3z = 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 + -3z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3z = 0 + -2
-3z = 0 + -2

Combine like terms: 0 + -2 = -2
-3z = -2

Divide each side by '-3'.
z = 0.6666666667

Simplifying
z = 0.6666666667
Solution
z = {3, 0.6666666667}

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