Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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-12x+6+4=-12x+10
Use the distributive property to multiply -3 by 4x-2.
-12x+10=-12x+10
Add 6 and 4 to get 10.
-12x+10+12x=10
Add 12x to both sides.
10=10
Combine -12x and 12x to get 0.
\text{true}
Compare 10 and 10.
x\in \mathrm{C}
This is true for any x.
-12x+6+4=-12x+10
Use the distributive property to multiply -3 by 4x-2.
-12x+10=-12x+10
Add 6 and 4 to get 10.
-12x+10+12x=10
Add 12x to both sides.
10=10
Combine -12x and 12x to get 0.
\text{true}
Compare 10 and 10.
x\in \mathrm{R}
This is true for any x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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}