What is the solution of the equation 5/2x= -1/8

1 answer

To find the solution of the equation, we can solve for x by multiplying both sides of the equation by the reciprocal of 5/2, which is 2/5.

(5/2x)(2/5) = (-1/8)(2/5)

Multiply the numerators and denominators separately:

(5 * 2)/(2x * 5) = (-1 * 2)/(8 * 5)

Simplifying the fractions:

10/10x = -2/40

Dividing both sides by 10:

(10/10x) * (1/10) = (-2/40) * (1/10)

1/x = -2/400

Now, to isolate x, we can take the reciprocal of both sides:

(x/1) * (1/-2/400) = 1

Simplifying the expression:

x = -400/2

x = -200

Therefore, the solution to the equation 5/2x = -1/8 is x = -200.
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