Solve for a
a=-\frac{5}{24}\approx -0.208333333
Share
Copied to clipboard
24a-4\left(6+1\right)=-33
Multiply both sides of the equation by 24, the least common multiple of 6,8.
24a-4\times 7=-33
Add 6 and 1 to get 7.
24a-28=-33
Multiply -4 and 7 to get -28.
24a=-33+28
Add 28 to both sides.
24a=-5
Add -33 and 28 to get -5.
a=\frac{-5}{24}
Divide both sides by 24.
a=-\frac{5}{24}
Fraction \frac{-5}{24} can be rewritten as -\frac{5}{24} 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}