Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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3\left(x+7\right)+5\left(4x+28\right)=23x+161
Multiply both sides of the equation by 15, the least common multiple of 5,3,15.
3x+21+5\left(4x+28\right)=23x+161
Use the distributive property to multiply 3 by x+7.
3x+21+20x+140=23x+161
Use the distributive property to multiply 5 by 4x+28.
23x+21+140=23x+161
Combine 3x and 20x to get 23x.
23x+161=23x+161
Add 21 and 140 to get 161.
23x+161-23x=161
Subtract 23x from both sides.
161=161
Combine 23x and -23x to get 0.
\text{true}
Compare 161 and 161.
x\in \mathrm{C}
This is true for any x.
3\left(x+7\right)+5\left(4x+28\right)=23x+161
Multiply both sides of the equation by 15, the least common multiple of 5,3,15.
3x+21+5\left(4x+28\right)=23x+161
Use the distributive property to multiply 3 by x+7.
3x+21+20x+140=23x+161
Use the distributive property to multiply 5 by 4x+28.
23x+21+140=23x+161
Combine 3x and 20x to get 23x.
23x+161=23x+161
Add 21 and 140 to get 161.
23x+161-23x=161
Subtract 23x from both sides.
161=161
Combine 23x and -23x to get 0.
\text{true}
Compare 161 and 161.
x\in \mathrm{R}
This is true for any x.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}