Solve for x (complex solution)
x=\frac{2\left(e^{\frac{\pi i}{3}}+9\right)}{5}\approx 3.8+0.346410162i
Solve for x
x = \frac{16}{5} = 3\frac{1}{5} = 3.2
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4x-18+x=\sqrt[3]{-8}
Use the distributive property to multiply -2 by -2x+9.
5x-18=\sqrt[3]{-8}
Combine 4x and x to get 5x.
5x=\sqrt[3]{-8}+18
Add 18 to both sides.
5x=18+\sqrt[3]{-8}
The equation is in standard form.
\frac{5x}{5}=\frac{2e^{\frac{\pi i}{3}}+18}{5}
Divide both sides by 5.
x=\frac{2e^{\frac{\pi i}{3}}+18}{5}
Dividing by 5 undoes the multiplication by 5.
4x-18+x=\sqrt[3]{-8}
Use the distributive property to multiply -2 by -2x+9.
5x-18=\sqrt[3]{-8}
Combine 4x and x to get 5x.
5x-18=-2
Calculate \sqrt[3]{-8} and get -2.
5x=-2+18
Add 18 to both sides.
5x=16
Add -2 and 18 to get 16.
x=\frac{16}{5}
Divide both sides by 5.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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