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Trixie
Mathematics
20 August, 06:36
What is X when 0=-5/4 (X-6/5)
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Piper
20 August, 06:52
0
x = 6/5
Step-by-step explanation:
Solve for x:
0 = (-5 (x - 6/5)) / 4
Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x) / 5 - 6/5:
0 = (-5) / 4 (5 x) / 5 - 6/5
(5 x) / 5 - 6/5 = (5 x - 6) / 5:
0 = (-5) / 4 (5 x - 6) / 5
(-5) / 5 = (5 (-1)) / 5 = - 1:
0 = (-1 (5 x - 6)) / 4
0 = ( - (5 x - 6)) / 4 is equivalent to ( - (5 x - 6)) / 4 = 0:
( - (5 x - 6)) / 4 = 0
Multiply both sides of ( - (5 x - 6)) / 4 = 0 by - 4:
(-4 ( - (5 x - 6))) / 4 = - 4*0
(-4) / 4 = (4 (-1)) / 4 = - 1:
--1 (5 x - 6) = - 4*0
(-1) ^2 = 1:
5 x - 6 = - 4*0
0 (-4) = 0:
5 x - 6 = 0
Add 6 to both sides:
5 x + (6 - 6) = 6
6 - 6 = 0:
5 x = 6
Divide both sides of 5 x = 6 by 5:
(5 x) / 5 = 6/5
5/5 = 1:
Answer: x = 6/5
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