Solve for a
a=0
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2a+8=4\left(a+2\right)
Use the distributive property to multiply 2 by a+4.
2a+8=4a+8
Use the distributive property to multiply 4 by a+2.
2a+8-4a=8
Subtract 4a from both sides.
-2a+8=8
Combine 2a and -4a to get -2a.
-2a=8-8
Subtract 8 from both sides.
-2a=0
Subtract 8 from 8 to get 0.
a=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -2 is not equal to 0, a must be equal to 0.
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
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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
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