What is the answer to 12k^{2.5}(4k+2)=12k ?

The answer to 12k^{2.5}(4k+2)=12k is k=0,k\approx 0.41964…

Solve for k: 12k^{2.5}(4k+2)=12k

The solution is k=0,k\approx 0.41964…

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12 k^{2.5} (4 k + 2) = 12 k

k = 0, k \approx 0.41964 \dots

Solution steps

12 k^{2.5} (4 k + 2) = 12 k

Expand

12 k^{2.5} (4 k + 2) : 48 k^{2.5} k + 24 k^{2.5}

48 k^{2.5} k + 24 k^{2.5} = 12 k

Factor

48 k^{2.5} k + 24 k^{2.5} : 24 k^{2.5} (2 k + 1)

24 k^{2.5} (2 k + 1) = 12 k

Remove roots

576 k^{5} (2 k + 1)^{2} = 144 k^{2}

Solve

576 k^{5} (2 k + 1)^{2} = 144 k^{2} : k = 0, k \approx 0.41964 \dots

k = 0, k \approx 0.41964 \dots

Verify Solutions:

k = 0

True

, k \approx 0.41964 \dots

True

The solutions are

k = 0, k \approx 0.41964 \dots

6 - x + 2 = x - 4

x - 1 + 6 = 16

x + 1 = 3 x^{2} + 3 x - 20

18 - x = x + 2

- 4 + 5 x = x

What is the answer to 12k^{2.5}(4k+2)=12k ?
The answer to 12k^{2.5}(4k+2)=12k is k=0,k\approx 0.41964…
Solve for k: 12k^{2.5}(4k+2)=12k
The solution is k=0,k\approx 0.41964…