What is the answer to x^{0.2}(d-6)=0.3d+5-3+0.1d ?

The answer to x^{0.2}(d-6)=0.3d+5-3+0.1d is

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x^{0.2}(d-6)=0.3d+5-3+0.1d

x^{0.2} (d - 6) = 0.3 d + 5 - 3 + 0.1 d

x = \frac{32 d ^{5} + 800 d ^{4} + 8000 d ^{3} + 40000 d ^{2} + 100000 d + 100000}{3125 d ^{5} - 93750 d ^{4} + 1125000 d ^{3} - 6750000 d ^{2} + 20250000 d - 24300000} {d < 6 or d > 6}

Solution steps

x^{0.2} (d - 6) = 0.3 d + 5 - 3 + 0.1 d

Expand

x^{0.2} (d - 6) : d x^{0.2} - 6 x^{0.2}

d x^{0.2} - 6 x^{0.2} = 0.3 d + 5 - 3 + 0.1 d

Factor

d x^{0.2} - 6 x^{0.2} : x^{0.2} (d - 6)

Factor

0.3 d + 5 - 3 + 0.1 d : 0.4 d + 2

x^{0.2} (d - 6) = 0.4 d + 2

Multiply both sides by

10

x^{0.2} (d - 6) \cdot 10 = 4 d + 20

Divide both sides by

(d - 6) \cdot 10

x^{0.2} = \frac{2 ( d + 5 )}{5 ( d - 6 )}

Take both sides of the equation to the power of

5 : x = \frac{32 d ^{5} + 800 d ^{4} + 8000 d ^{3} + 40000 d ^{2} + 100000 d + 100000}{3125 d ^{5} - 93750 d ^{4} + 1125000 d ^{3} - 6750000 d ^{2} + 20250000 d - 24300000}

x = \frac{32 d ^{5} + 800 d ^{4} + 8000 d ^{3} + 40000 d ^{2} + 100000 d + 100000}{3125 d ^{5} - 93750 d ^{4} + 1125000 d ^{3} - 6750000 d ^{2} + 20250000 d - 24300000}

Verify Solutions:

x = \frac{32 d ^{5} + 800 d ^{4} + 8000 d ^{3} + 40000 d ^{2} + 100000 d + 100000}{3125 d ^{5} - 93750 d ^{4} + 1125000 d ^{3} - 6750000 d ^{2} + 20250000 d - 24300000} {d < 6 or d > 6}

The solution is

x = \frac{32 d ^{5} + 800 d ^{4} + 8000 d ^{3} + 40000 d ^{2} + 100000 d + 100000}{3125 d ^{5} - 93750 d ^{4} + 1125000 d ^{3} - 6750000 d ^{2} + 20250000 d - 24300000} {d < 6 or d > 6}

x - 1 = 4 x - 4

p + 16 + 4 = p

2 x + 1 + 2 x - 1 = 2

3 a - 19 = 17 - a

x - 54 - 3 x = 0

What is the answer to x^{0.2}(d-6)=0.3d+5-3+0.1d ?
The answer to x^{0.2}(d-6)=0.3d+5-3+0.1d is