Question

Do the following
1. Solve :5x+7/2=3/2x-14​

Answer 1

The simplification would be

5x+7/2= 3/2x-14

10x+7/2= 3/2x-14

2x-14(10x+7)= 6

2x(10x+7)-14(10x+7)= 6

20x²+14x-140x-98= 6

20x²-126x-92= 0

Answer 2

Answer:

x=1 or 0.99 and x= 2.5

Step-by-step explanation:

given:-

5x+7/2=3/2x-14

10x+7 = 3-28x

2 2x

2x(10x+7)=2(3-28x)

20x²+14x=6-56x

20x²+70x-6=0

now,

x=(-b+-(b²-4ac)½ )/2a

x=( -70+(1400-480)½)/40 and x=( -70-(1400-480)½)/40)

x=(-70+920½)/40 and x=(-70-920½)/40

x=1 or 0.99 and x=2.5