Solve for x
x = -\frac{9}{2} = -4\frac{1}{2} = -4.5
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x-6x-40-7x-14=0
Multiply both sides of the equation by 7.
-5x-40-7x-14=0
Combine x and -6x to get -5x.
-12x-40-14=0
Combine -5x and -7x to get -12x.
-12x-54=0
Subtract 14 from -40 to get -54.
-12x=54
Add 54 to both sides. Anything plus zero gives itself.
x=\frac{54}{-12}
Divide both sides by -12.
x=-\frac{9}{2}
Reduce the fraction \frac{54}{-12} to lowest terms by extracting and canceling out 6.
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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