Solve for z
z=-2.5
Share
Copied to clipboard
0.4z+6-4z=15
Subtract 4z from both sides.
-3.6z+6=15
Combine 0.4z and -4z to get -3.6z.
-3.6z=15-6
Subtract 6 from both sides.
-3.6z=9
Subtract 6 from 15 to get 9.
z=\frac{9}{-3.6}
Divide both sides by -3.6.
z=\frac{90}{-36}
Expand \frac{9}{-3.6} by multiplying both numerator and the denominator by 10.
z=-\frac{5}{2}
Reduce the fraction \frac{90}{-36} to lowest terms by extracting and canceling out 18.
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}