2.5k(4k+2)=12k

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Solution for 2.5k(4k+2)=12k equation: 


Simplifying
2.5k(4k + 2) = 12k

Reorder the terms:
2.5k(2 + 4k) = 12k
(2 * 2.5k + 4k * 2.5k) = 12k
(5k + 10k2) = 12k

Solving
5k + 10k2 = 12k

Solving for variable 'k'.

Reorder the terms:
5k + -12k + 10k2 = 12k + -12k

Combine like terms: 5k + -12k = -7k
-7k + 10k2 = 12k + -12k

Combine like terms: 12k + -12k = 0
-7k + 10k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(-7 + 10k) = 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 + 10k)' equal to zero and attempt to solve:

Simplifying
-7 + 10k = 0

Solving
-7 + 10k = 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 + 10k = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 10k = 0 + 7
10k = 0 + 7

Combine like terms: 0 + 7 = 7
10k = 7

Divide each side by '10'.
k = 0.7

Simplifying
k = 0.7
Solution
k = {0, 0.7}

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