What is the answer to D(x)=72-1.8x ?

The answer to D(x)=72-1.8x is x=(360)/(5D+9);\quad D\ne-9/5

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D(x)=72-1.8x

D (x) = 72 - 1.8 x

x = \frac{360}{5 D + 9}; D \neq = - \frac{9}{5}

Solution steps

D (x) = 72 - 1.8 x

Multiply both sides by

10

D x \cdot 10 = 720 - 18 x

Move

18 x

to the left side

D x \cdot 10 + 18 x = 720

Factor

D x \cdot 10 + 18 x : 2 x (5 D + 9)

2 x (5 D + 9) = 720

Divide both sides by

2 (5 D + 9); D \neq = - \frac{9}{5}

x = \frac{360}{5 D + 9}; D \neq = - \frac{9}{5}

y^{^{'''}} - 2 y^{^{''}} + y^{^{'}} = (3 x - 4) e^{- 2 x} - 5 e^{x}

y^{^{''}} + y^{^{'}} + y = 2 x e

\frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} = 6 t

y^{^{''}} + 2 y^{^{'}} - 3 y = - 15 x^{2} + 26 x - 3

y^{^{''}} + 6 y^{^{'}} + 5 y = 5 x + 1

What is the answer to D(x)=72-1.8x ?
The answer to D(x)=72-1.8x is x=(360)/(5D+9);\quad D\ne-9/5