Solve for t (complex solution)
t\in \mathrm{C}
Solve for t
t\in \mathrm{R}
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24t+32=10t-3+7\left(2t+5\right)
Use the distributive property to multiply 8 by 3t+4.
24t+32=10t-3+14t+35
Use the distributive property to multiply 7 by 2t+5.
24t+32=24t-3+35
Combine 10t and 14t to get 24t.
24t+32=24t+32
Add -3 and 35 to get 32.
24t+32-24t=32
Subtract 24t from both sides.
32=32
Combine 24t and -24t to get 0.
\text{true}
Compare 32 and 32.
t\in \mathrm{C}
This is true for any t.
24t+32=10t-3+7\left(2t+5\right)
Use the distributive property to multiply 8 by 3t+4.
24t+32=10t-3+14t+35
Use the distributive property to multiply 7 by 2t+5.
24t+32=24t-3+35
Combine 10t and 14t to get 24t.
24t+32=24t+32
Add -3 and 35 to get 32.
24t+32-24t=32
Subtract 24t from both sides.
32=32
Combine 24t and -24t to get 0.
\text{true}
Compare 32 and 32.
t\in \mathrm{R}
This is true for any t.
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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
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