Solve for z
z=\frac{2}{5}-\frac{4}{5}i=0.4-0.8i
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-5z+5=3+4i
Combine z and -6z to get -5z.
-5z=3+4i-5
Subtract 5 from both sides.
-5z=3-5+4i
Subtract 5 from 3+4i by subtracting corresponding real and imaginary parts.
-5z=-2+4i
Subtract 5 from 3 to get -2.
z=\frac{-2+4i}{-5}
Divide both sides by -5.
z=\frac{2}{5}-\frac{4}{5}i
Divide -2+4i by -5 to get \frac{2}{5}-\frac{4}{5}i.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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