SOLUTION: Solve each equation by factoring. 8x=3x^2=5 My Work: I moved the 8x over and came out with 3x^2-8x+5=0.My teacher taught me to use this box and i did and came up with (3x-5+5)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve each equation by factoring. 8x=3x^2=5 My Work: I moved the 8x over and came out with 3x^2-8x+5=0.My teacher taught me to use this box and i did and came up with (3x-5+5)      Log On


   

Question 133703: Solve each equation by factoring.
8x=3x^2=5
My Work:
I moved the 8x over and came out with 3x^2-8x+5=0.My teacher taught me to use this box and i did and came up with (3x-5+5)=0+5 and (x-1+1)=0+1 and i divided and came up with x=5/3 and 1. PLEASE HELP I REALLY TRIED!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
8x=3x%5E2%2B5 Start with the given equation


0=3x%5E2%2B5-8x Subtract 8x from both sides.


0=3x%5E2-8x%2B5 Rearrange the terms



0=%283x-5%29%28x-1%29 Factor the right side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
3x-5=0 or x-1=0

x=5%2F3 or x=1 Now solve for x in each case


So our solutions are

x=5%2F3 or x=1