Solve for x
x>0
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-2x>-2\times 3x
Multiply both sides of the equation by 6, the least common multiple of -6,-3. Since 6 is positive, the inequality direction remains the same.
-2x>-6x
Multiply -2 and 3 to get -6.
-2x+6x>0
Add 6x to both sides.
4x>0
Combine -2x and 6x to get 4x.
x>0
Product of two numbers is >0 if both are >0 or both are <0. Since 4>0, x must be >0.
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Linear equation
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.
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\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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