Two solutions were found :
r = -5/2 = -2.500
r = 1
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*r^2-(5-3*r)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
2r2 - (5 - 3r) = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2r2+3r-5
The first term is, 2r2 its coefficient is 2 .
The middle term is, +3r its coefficient is 3 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 2 • -5 = -10
Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is 3 .
-10 + 1 = -9
-5 + 2 = -3
-2 + 5 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 5
2r2 - 2r + 5r - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
2r • (r-1)
Add up the last 2 terms, pulling out common factors :
5 • (r-1)
Step-5 : Add up the four terms of step 4 :
(2r+5) • (r-1)
Which is the desired factorization
