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Solving an Equation

Solve -2 - ...

Question

Solve $(- 2 - 4 m)^{2} - 8 (3 + 2 m) = 0$ .

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Solution

${(- 2 - 4 m)}^{2} - 8 (3 + 2 m) = 0$

$4 + 16 m + 16 m^{2} - 24 - 16 m = 0$

$16 m^{2} - 20 = 0$

$m^{2} = \frac{5}{4}$

$m = \pm \frac{\sqrt{5}}{2}$

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