Question

step 1: simplify the equation.
find a common denominator and combine the fractions.
\\(\frac{3,500}{(x - 1.75)} - \frac{3,500}{x} = 15\\)
\\(\frac{3,500x - 3,500(x - 1.75)}{x(x - 1.75)} = 15\\)
simplify the expression in the numerator.
\\(\frac{6,125}{x(x - 1.75)} = 15\\)
multiply both sides by \\(x(x - 1.75)\\) and simplify to get a quadratic equation in standard form.
\\(15x^2 - \square x - \square = 0\\)

Explanation:

Step1: Eliminate denominator

Multiply both sides by $x(x-1.75)$:
$$6125 = 15x(x-1.75)$$

Step2: Expand right-hand side

Distribute $15x$ across the parentheses:
$$6125 = 15x^2 - 26.25x$$

Step3: Rearrange to standard form

Move all terms to one side:
$$15x^2 - 26.25x - 6125 = 0$$

Answer:

$15x^2 - 26.25x - 6125 = 0$
(The missing values are 26.25 and 6125 respectively)