To solve this equation, we need to expand the left side of the equation and then simplify.
First, let's expand (√2x + 5)²:
(√2x + 5)² = (√2x + 5)(√2x + 5) = (√2x)(√2x) + (√2x)(5) + (5)(√2x) + (5)(5) = 2x + 5√2x + 5√2x + 25 = 2x + 10√2x + 25
Now, we can rewrite the equation as:
2x + 10√2x + 25 = 5² 2x + 10√2x + 25 = 25
Next, we can simplify the equation:
2x + 10√2x + 25 - 25 = 25 - 25 2x + 10√2x = 0
To solve for x, we can divide both sides of the equation by 2:
(2x + 10√2x)/2 = 0/2 x + 5√2x = 0
At this point, we have simplified the equation but it does not appear to have a clear solution. It is not possible to solve for x without any additional information or constraints.
