Question

Solve for ( x ) in the equation ( x + 20x + 100 = 36.2 )

a) ( x = -16 )
b) ( x = 40 )
c) ( x = -10 )
d) ( x = 8 )

Answer 1

The correct solution for x in the given equation is -3.0380952381 after simplifying and performing algebraic operations. The provided options do not include this answer.

Step-by-step explanation:

To solve for x in the equation x + 20x + 100 = 36.2, first simplify the left side by combining like terms. This gives us 21x + 100 = 36.2. Now, we need to isolate x by performing algebraic operations. Subtract 100 from both sides to get 21x = -63.8. Then divide both sides by 21, which gives us x = -3.0380952381. None of the options given in the multiple choice (a, b, c, d) match this answer. It is possible that there might have been a mistake in the presentation of the question or the options provided.