[tex] {20x}^{2} - 21x + 4 = 0[/tex]
[tex] {20x}^{2} - 16x - 5x + 4 = 0[/tex]
[tex]4x(5x - 4) - 1(5x - 4) = 0[/tex]
[tex](4x - 1)(5x - 4) = 0[/tex]
[tex]\longrightarrow[/tex][tex]\sf\pink{4x-1=0}[/tex]
[tex]\longrightarrow[/tex][tex]\sf\pink{x=\frac{1}{4}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf\pink{5x-4=0}[/tex]
[tex]\longrightarrow[/tex][tex]\sf\pink{x=\frac{4}{5}}[/tex]
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Answers & Comments
[tex] {20x}^{2} - 21x + 4 = 0[/tex]
[tex] {20x}^{2} - 16x - 5x + 4 = 0[/tex]
[tex]4x(5x - 4) - 1(5x - 4) = 0[/tex]
[tex](4x - 1)(5x - 4) = 0[/tex]
[tex]\longrightarrow[/tex][tex]\sf\pink{4x-1=0}[/tex]
[tex]\longrightarrow[/tex][tex]\sf\pink{x=\frac{1}{4}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf\pink{5x-4=0}[/tex]
[tex]\longrightarrow[/tex][tex]\sf\pink{x=\frac{4}{5}}[/tex]
[tex]20 {x}^{2} - 21x + 4 = 0 \\ \\ 20 {x}^{2} - (16 + 5)x + 4 = 0 \\ \\ 20 {x}^{2} - 16x - 5x + 4 = 0 \\ \\ 4x(5x - 4) - 1(5x - 4) = 0 \\ \\ (4x - 1)(5x - 4) = 0 \\ \\ x = \frac{1}{4} \: \: \: and \: x = \frac{4}{5} [/tex]