4k(3-2k)-5k=

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Solution for 4k(3-2k)-5k= equation: 


Simplifying
4k(3 + -2k) + -5k = 0
(3 * 4k + -2k * 4k) + -5k = 0
(12k + -8k2) + -5k = 0

Reorder the terms:
12k + -5k + -8k2 = 0

Combine like terms: 12k + -5k = 7k
7k + -8k2 = 0

Solving
7k + -8k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(7 + -8k) = 0


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

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0

Subproblem 2
Set the factor '(7 + -8k)' equal to zero and attempt to solve:

Simplifying
7 + -8k = 0

Solving
7 + -8k = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8k = 0 + -7

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

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

Divide each side by '-8'.
k = 0.875

Simplifying
k = 0.875
Solution
k = {0, 0.875}

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