Question

3(2x+5)^2+23=38
HELP ME PLEASE

Answer 1

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:

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