Solve for b (complex solution)
b\in \mathrm{C}
Solve for b
b\in \mathrm{R}
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21b-21+3=3\left(7b-6\right)
Use the distributive property to multiply 21 by b-1.
21b-18=3\left(7b-6\right)
Add -21 and 3 to get -18.
21b-18=21b-18
Use the distributive property to multiply 3 by 7b-6.
21b-18-21b=-18
Subtract 21b from both sides.
-18=-18
Combine 21b and -21b to get 0.
\text{true}
Compare -18 and -18.
b\in \mathrm{C}
This is true for any b.
21b-21+3=3\left(7b-6\right)
Use the distributive property to multiply 21 by b-1.
21b-18=3\left(7b-6\right)
Add -21 and 3 to get -18.
21b-18=21b-18
Use the distributive property to multiply 3 by 7b-6.
21b-18-21b=-18
Subtract 21b from both sides.
-18=-18
Combine 21b and -21b to get 0.
\text{true}
Compare -18 and -18.
b\in \mathrm{R}
This is true for any b.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}