What is the answer to d(x)=4x^7+10x^6+5x-2(2x^7+5x^6+10) ?

The answer to d(x)=4x^7+10x^6+5x-2(2x^7+5x^6+10) is x=-(20)/(d-5);\quad d\ne 5

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d(x)=4x^7+10x^6+5x-2(2x^7+5x^6+10)

d (x) = 4 x^{7} + 10 x^{6} + 5 x - 2 (2 x^{7} + 5 x^{6} + 10)

x = - \frac{20}{d - 5}; d \neq = 5

Solution steps

d (x) = 4 x^{7} + 10 x^{6} + 5 x - 2 (2 x^{7} + 5 x^{6} + 10)

Expand

d (x) : d x

Expand

4 x^{7} + 10 x^{6} + 5 x - 2 (2 x^{7} + 5 x^{6} + 10) : 5 x - 20

d x = 5 x - 20

Move

5 x

to the left side

d x - 5 x = - 20

Factor

d x - 5 x : x (d - 5)

x (d - 5) = - 20

Divide both sides by

d - 5; d \neq = 5

x = - \frac{20}{d - 5}; d \neq = 5

2 \frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 3 y = x^{2} + 2 x - 1

y^{^{''}} + y = cos (x) + 3 sin (2 x)

y^{^{''}} + 49 y = x^{2} cos (7 x) + x e^{- 7 x}

y^{^{''}} + 4 y^{^{'}} = cos (x)

y^{^{''}} + 7 y^{^{'}} + 10 y = - 10 + e^{4 t}

What is the answer to d(x)=4x^7+10x^6+5x-2(2x^7+5x^6+10) ?
The answer to d(x)=4x^7+10x^6+5x-2(2x^7+5x^6+10) is x=-(20)/(d-5);\quad d\ne 5