Solve for a
a=-1
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5-2a-4\left(3a+3\right)=\frac{21}{3}
Divide both sides by 3.
5-2a-4\left(3a+3\right)=7
Divide 21 by 3 to get 7.
5-2a-12a-12=7
Use the distributive property to multiply -4 by 3a+3.
5-14a-12=7
Combine -2a and -12a to get -14a.
-7-14a=7
Subtract 12 from 5 to get -7.
-14a=7+7
Add 7 to both sides.
-14a=14
Add 7 and 7 to get 14.
a=\frac{14}{-14}
Divide both sides by -14.
a=-1
Divide 14 by -14 to get -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}