Solve for Γ
\Gamma =15
Solve for α (complex solution)
\alpha \in \mathrm{C}
\Gamma =15
Solve for α
\alpha \in \mathrm{R}
\Gamma =15
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\Gamma =10-\alpha +\beta -\gamma -\beta +\alpha -\left(-\gamma -\beta \right)-\beta +5
To find the opposite of \alpha -\beta +\gamma , find the opposite of each term.
\Gamma =10+\beta -\gamma -\beta -\left(-\gamma -\beta \right)-\beta +5
Combine -\alpha and \alpha to get 0.
\Gamma =10+\beta -\gamma -\beta -\left(-\gamma \right)+\beta -\beta +5
To find the opposite of -\gamma -\beta , find the opposite of each term.
\Gamma =10+2\beta -\gamma -\beta -\left(-\gamma \right)-\beta +5
Combine \beta and \beta to get 2\beta .
\Gamma =10+\beta -\gamma -\beta -\left(-\gamma \right)+5
Combine 2\beta and -\beta to get \beta .
\Gamma =15+\beta -\gamma -\beta -\left(-\gamma \right)
Add 10 and 5 to get 15.
\Gamma =15-\gamma -\left(-\gamma \right)
Combine \beta and -\beta to get 0.
\Gamma =15-\gamma +\gamma
Multiply -1 and -1 to get 1.
\Gamma =15
Combine -\gamma and \gamma to get 0.
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