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lions [1.4K]
3 years ago
14

5w²-5w=0 . -10n²+35n=0 . 2x²+15x=0 . 18c²+6c=0 . -32y²-24y=0

Mathematics
1 answer:
love history [14]3 years ago
6 0

5 {w}^{2}  - 5w = 0\Leftrightarrow 5w(w - 1) = 0\Leftrightarrow w = 0 \: \vee \: w = 1 \\  - 10 {n}^{2}  + 35n = 0\Leftrightarrow  - 5n(2n - 7) = 0\Leftrightarrow n = 0 \: \vee \: n =  \frac{7}{2}  \\ 2 {x}^{2}  + 15x = 0\Leftrightarrow x(2x + 15) = 0\Leftrightarrow x = 0 \: \vee \: x =  \frac{15}{2}  \\ 18 {c}^{2}  + 6c = 6c(3c + 1) = 0\Leftrightarrow c = 0  \: \vee \: c =  -  \frac{1}{3}  \\  - 32 {y}^{2}  - 24y = 0\Leftrightarrow  - 8y(4y + 3) = 0\Leftrightarrow y = 0 \:\vee \: y =  -  \frac{3}{4}  \\ 3 {k}^{2}  = 6k\Leftrightarrow k = 0 \: \vee \: k = 2 \\ 6 {h}^{2}  = 3h\Leftrightarrow h = 0 \: \vee \: h =  \frac{1}{2}  \\ 4 {s}^{2}  = 10s\Leftrightarrow s = 0 \: \vee \: s =  \frac{5}{2}  \\  - 42 {z}^{2}  = 14z\Leftrightarrow z = 0 \:\vee \: z =  -  \frac{1}{3}

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