-4z(-2-3z)=13z

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Solution for -4z(-2-3z)=13z equation: 


Simplifying
-4z(-2 + -3z) = 13z
(-2 * -4z + -3z * -4z) = 13z
(8z + 12z2) = 13z

Solving
8z + 12z2 = 13z

Solving for variable 'z'.

Reorder the terms:
8z + -13z + 12z2 = 13z + -13z

Combine like terms: 8z + -13z = -5z
-5z + 12z2 = 13z + -13z

Combine like terms: 13z + -13z = 0
-5z + 12z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(-5 + 12z) = 0


Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0

Subproblem 2
Set the factor '(-5 + 12z)' equal to zero and attempt to solve:

Simplifying
-5 + 12z = 0

Solving
-5 + 12z = 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 + 12z = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 12z = 0 + 5
12z = 0 + 5

Combine like terms: 0 + 5 = 5
12z = 5

Divide each side by '12'.
z = 0.4166666667

Simplifying
z = 0.4166666667
Solution
z = {0, 0.4166666667}

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