Question

What are the list of steps, in order, that will solve the following equation?
$2(x + \frac{3}{4} ) {}^{2} - 5 = 123$
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Answer 1

Answer:

$2 {(x + \frac{3}{4}) }^{2} - 5 = 123 \\ \\ = > 2( {x})^{2} + 2 \times x \times \frac{3}{4} + { (\frac{3}{4}) }^{2} - 5 = 123 \\ \\ = > 2 {x}^{2} + \frac{6x}{4} + \frac{9}{16} - 5 = 123 \\ \\ = > 2 {x}^{2} + \frac{6x}{4} + \frac{9}{16} = 123 + 5 \\ \\ = > \frac{8 {x}^{2} + 6x }{4} = 128 - \frac{9}{16} \\ \\ = > \frac{8 {x}^{2} + 6x }{4} = \frac{2048 - 9}{16} \\ \\ = > \frac{8 {x}^{2} + 6x}{4} = \frac{2039}{16} \\ \\ = > 16(8 {x}^{2} + 6x) = 2039 \times 4 \\ \\ = > 128 {x}^{2} + 96x = 8156 \\ \\ = >128 {x}^{2} + 96x - 8156 = 0 \\ \\ = > 2(64 {x}^{2} + 48x - 4078 = 0 \\ \\ = > 64 {x}^{2} + 48x - 4078 = 0 \\ \\ = > 2(32 {x}^{2} + 24x - 2039) = 0 \\ \\ = > 32 {x}^{2} + 24x - 2039 = 0$

hope this much helps uh ❣️