t²- 20t + 96
Please Solve this Quadratic Equation with Proper and Complete Steps.

Dear Student,
$$\begin{gathered} {\mathrm{t}}^2-20\mathrm{t}+96={\mathrm{t}}^2-12\mathrm{t}-8\mathrm{t}+96 \\ =\mathrm{t}\left(\mathrm{t}-12\right)-8\left(\mathrm{t}-12\right) \\ =\left(\mathrm{t}-12\right)\left(\mathrm{t}-8\right) \\ \Rightarrow {\mathbf{t}}^{\mathbf{2}}\mathbf{-}\mathbf{20}\mathbf{t}\mathbf{+}\mathbf{96}\mathbf{=}\left(\mathbf{t}\mathbf{-}\mathbf{12}\right)\left(\mathbf{t}\mathbf{-}\mathbf{8}\right) \end{gathered}$$

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