Solve for m
m=1
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0=12+3m-15
Use the distributive property to multiply 3 by m-5.
0=-3+3m
Subtract 15 from 12 to get -3.
-3+3m=0
Swap sides so that all variable terms are on the left hand side.
3m=3
Add 3 to both sides. Anything plus zero gives itself.
m=\frac{3}{3}
Divide both sides by 3.
m=1
Divide 3 by 3 to get 1.
Examples
Quadratic equation
{ 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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