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Solve for k (complex solution)
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Solve for k
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Solve for m
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\frac{4kx}{9}-5=m
Swap sides so that all variable terms are on the left hand side.
\frac{4kx}{9}=m+5
Add 5 to both sides.
4kx=9m+45
Multiply both sides of the equation by 9.
4xk=9m+45
The equation is in standard form.
\frac{4xk}{4x}=\frac{9m+45}{4x}
Divide both sides by 4x.
k=\frac{9m+45}{4x}
Dividing by 4x undoes the multiplication by 4x.
k=\frac{9\left(m+5\right)}{4x}
Divide 45+9m by 4x.
\frac{4kx}{9}-5=m
Swap sides so that all variable terms are on the left hand side.
\frac{4kx}{9}=m+5
Add 5 to both sides.
4kx=9m+45
Multiply both sides of the equation by 9.
4xk=9m+45
The equation is in standard form.
\frac{4xk}{4x}=\frac{9m+45}{4x}
Divide both sides by 4x.
k=\frac{9m+45}{4x}
Dividing by 4x undoes the multiplication by 4x.
k=\frac{9\left(m+5\right)}{4x}
Divide 45+9m by 4x.