Question

This Question: 1 pt 4 of 5 (0 comple Find the real solutions of the equation. 14x + 51-5 Select the correct choice below and il in any answer boxes within your choice O A. The solution set is O B. There is no real solution. (Simplify your answer. Use a comma to separate answers as needed) Click to select and enter your answer(s) ns n 24/7

Answer 1

Solution:

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$\small \left | 4x+5 \right |=5$

$\small \therefore \pm \left ( 4x+5 \right )=5$

$\small \therefore 4x+5=5 \: \: \: \: \: \: \:,\: \: \: \: \: 4x+5=-5$

$\small \therefore4x=0 \: \: \: \: \: \: \:,\: \: \: \: \: 4x=-5-5$

$\small \therefore\: x=0 \: \: \: \: \: \: \:,\: \: \: \: \: 4x=-10$

$\small \therefore\: x=0 \: \: \: \: \: \: \:,\: \: \: \: \: x=\frac{-10}{4}=\frac{-5}{2}$

The solution set is _{$\small {\color{Magenta} \left \{ 0\: ,\: \frac{-5}{2} \right \}}$ .}