Solve for a
a=-1
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5a+10+5\times 4a=-15
Use the distributive property to multiply 5 by a+2.
5a+10+20a=-15
Multiply 5 and 4 to get 20.
25a+10=-15
Combine 5a and 20a to get 25a.
25a=-15-10
Subtract 10 from both sides.
25a=-25
Subtract 10 from -15 to get -25.
a=\frac{-25}{25}
Divide both sides by 25.
a=-1
Divide -25 by 25 to get -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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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