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3(2x+5)^2+23=38
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User Srikanta
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The simplified solution for the equation
\(3(2x + 5)^2 + 23 = 38\) is \(x = (-5 \pm √(5))/(2)\).

To simplify the given equation
\(3(2x + 5)^2 + 23 = 38\), follow these steps:

1. Subtract 23 from both sides of the equation:


\[3(2x + 5)^2 = 15\]

2. Divide both sides by 3:


\[(2x + 5)^2 = 5\]

3. Take the square root of both sides (considering both positive and negative roots):


\[2x + 5 = \pm √(5)\]

4. Subtract 5 from both sides:


\[2x = -5 \pm √(5)\]

5. Divide both sides by 2:


\[x = (-5 \pm √(5))/(2)\]

So, the simplified solution for the equation
\(3(2x + 5)^2 + 23 = 38\) is \(x = (-5 \pm √(5))/(2)\).

The probable question may be:

3(2x+5)^2+23=38

User Dhruv Jadia
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