Answer:
c = 8/3
Explanation:
Solve for c:
17 c - 8 (4 c - 5) = 0
-8 (4 c - 5) = 40 - 32 c:
17 c + 40 - 32 c = 0
Grouping like terms, 17 c - 32 c + 40 = 40 + (17 c - 32 c):
40 + (17 c - 32 c) = 0
17 c - 32 c = -15 c:
-15 c + 40 = 0
Subtract 40 from both sides:
(40 - 40) - 15 c = -40
40 - 40 = 0:
-15 c = -40
Divide both sides of -15 c = -40 by -15:
(-15 c)/(-15) = (-40)/(-15)
(-15)/(-15) = 1:
c = (-40)/(-15)
The gcd of 40 and -15 is 5, so (-40)/(-15) = (-(5×8))/(5 (-3)) = 5/5×(-8)/(-3) = (-8)/(-3):
c = (-8)/(-3)
Multiply numerator and denominator of (-8)/(-3) by -1:
Answer: c = 8/3