Solve for u. u+1/4=-4/5

u = (-21) / 20

Step-by-step explanation:

Solve for u:

u + 1/4 = (-4) / 5

Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u) / 4 + 1/4:

(4 u) / 4 + 1/4 = - 4/5

(4 u) / 4 + 1/4 = (4 u + 1) / 4:

1/4 (4 u + 1) = - 4/5

Multiply both sides of (4 u + 1) / 4 = (-4) / 5 by 4:

(4 (4 u + 1)) / 4 = (-4) / 5*4

4 * (-4) / 5 = (4 (-4)) / 5:

(4 (4 u + 1)) / 4 = (-4*4) / 5

(4 (4 u + 1)) / 4 = 4/4 * (4 u + 1) = 4 u + 1:

4 u + 1 = (-4*4) / 5

4 (-4) = - 16:

4 u + 1 = (-16) / 5

Subtract 1 from both sides:

4 u + (1 - 1) = (-16) / 5 - 1

1 - 1 = 0:

4 u = (-16) / 5 - 1

Put (-16) / 5 - 1 over the common denominator 5. (-16) / 5 - 1 = (-16) / 5 - 5/5:

4 u = (-16) / 5 - 5/5

-16/5 - 5/5 = (-16 - 5) / 5:

4 u = (-16 - 5) / 5

-16 - 5 = - 21:

4 u = (-21) / 5

Divide both sides by 4:

u = ((-21) / 4) / 5

5*4 = 20:

Answer: u = (-21) / 20