Solve for K
K = -\frac{12}{7} = -1\frac{5}{7} \approx -1.714285714
Share
Copied to clipboard
9K=2\left(K-6\right)
Variable K cannot be equal to 6 since division by zero is not defined. Multiply both sides of the equation by 9\left(K-6\right), the least common multiple of K-6,9.
9K=2K-12
Use the distributive property to multiply 2 by K-6.
9K-2K=-12
Subtract 2K from both sides.
7K=-12
Combine 9K and -2K to get 7K.
K=\frac{-12}{7}
Divide both sides by 7.
K=-\frac{12}{7}
Fraction \frac{-12}{7} can be rewritten as -\frac{12}{7} by extracting the negative sign.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}