5x^(-2)-17x^(-1)+6=0
i’m so confused pls will give brainliest

Simplifying

5x2 + -17x + 6 = 0

Reorder the terms:

6 + -17x + 5x2 = 0

Solving

6 + -17x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(2 + -5x)(3 + -1x) = 0

Subproblem 1

Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying

2 + -5x = 0

Solving

2 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + -5x = 0 + -2

-5x = 0 + -2

Combine like terms: 0 + -2 = -2

-5x = -2

Divide each side by '-5'.

x = 0.4

Simplifying

x = 0.4

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying

3 + -1x = 0

Solving

3 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -1x = 0 + -3

-1x = 0 + -3

Combine like terms: 0 + -3 = -3

-1x = -3

Divide each side by '-1'.

x = 3

Simplifying

x = 3

Solution

x = {0.4, 3}

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it