k[3-(k+2)]+5(k*k-4k)=

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Solution for k[3-(k+2)]+5(k*k-4k)= equation: 


Simplifying
k[3 + -1(k + 2)] + 5(k * k + -4k) = 0

Reorder the terms:
k[3 + -1(2 + k)] + 5(k * k + -4k) = 0
k[3 + (2 * -1 + k * -1)] + 5(k * k + -4k) = 0
k[3 + (-2 + -1k)] + 5(k * k + -4k) = 0

Combine like terms: 3 + -2 = 1
k[1 + -1k] + 5(k * k + -4k) = 0
[1 * k + -1k * k] + 5(k * k + -4k) = 0
[1k + -1k2] + 5(k * k + -4k) = 0

Multiply k * k
1k + -1k2 + 5(k2 + -4k) = 0

Reorder the terms:
1k + -1k2 + 5(-4k + k2) = 0
1k + -1k2 + (-4k * 5 + k2 * 5) = 0
1k + -1k2 + (-20k + 5k2) = 0

Reorder the terms:
1k + -20k + -1k2 + 5k2 = 0

Combine like terms: 1k + -20k = -19k
-19k + -1k2 + 5k2 = 0

Combine like terms: -1k2 + 5k2 = 4k2
-19k + 4k2 = 0

Solving
-19k + 4k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-19 + 4k) = 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 '(-19 + 4k)' equal to zero and attempt to solve:

Simplifying
-19 + 4k = 0

Solving
-19 + 4k = 0

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

Add '19' to each side of the equation.
-19 + 19 + 4k = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 4k = 0 + 19
4k = 0 + 19

Combine like terms: 0 + 19 = 19
4k = 19

Divide each side by '4'.
k = 4.75

Simplifying
k = 4.75
Solution
k = {0, 4.75}

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