Solve for z
z=44
Share
Copied to clipboard
\left(z-2\right)\times 7=\left(z+5\right)\times 6
Variable z cannot be equal to any of the values -5,2 since division by zero is not defined. Multiply both sides of the equation by \left(z-2\right)\left(z+5\right), the least common multiple of z+5,z-2.
7z-14=\left(z+5\right)\times 6
Use the distributive property to multiply z-2 by 7.
7z-14=6z+30
Use the distributive property to multiply z+5 by 6.
7z-14-6z=30
Subtract 6z from both sides.
z-14=30
Combine 7z and -6z to get z.
z=30+14
Add 14 to both sides.
z=44
Add 30 and 14 to get 44.
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}