What is the answer to D(x)=105.6-2.4x ?

The answer to D(x)=105.6-2.4x is x=(528)/(5D+12);\quad D\ne-12/5

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D(x)=105.6-2.4x

D (x) = 105.6 - 2.4 x

x = \frac{528}{5 D + 12}; D \neq = - \frac{12}{5}

Solution steps

D (x) = 105.6 - 2.4 x

Multiply both sides by

10

D x \cdot 10 = 1056 - 24 x

Move

24 x

to the left side

D x \cdot 10 + 24 x = 1056

Factor

D x \cdot 10 + 24 x : 2 x (5 D + 12)

2 x (5 D + 12) = 1056

Divide both sides by

2 (5 D + 12); D \neq = - \frac{12}{5}

x = \frac{528}{5 D + 12}; D \neq = - \frac{12}{5}

x^{^{''}} + 4 x^{^{'}} + 43 x = 10 cos (6 t)

y^{^{''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = x - 2 e^{x}

y^{^{''}} + 4 y^{^{'}} + 5 y = 1 - 5 x + 8 cos (x) - 8 sin (x)

y^{^{''}} + 16 y = 4 e^{2 t} + 4 sin (2 t)

x^{^{''}} + x = a cos (t)

What is the answer to D(x)=105.6-2.4x ?
The answer to D(x)=105.6-2.4x is x=(528)/(5D+12);\quad D\ne-12/5