2x2-3x=2 Two solutions were found : x = -1/2 = -0.500
x = 2Rearrange:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x^2-3*x-(2)=0 Step by step solution :Step 1 :Equation at the end of step 1 : (2x2 - 3x) - 2 = 0 Step 2 :Trying to factor by splitting the middle term 2.1 Factoring 2x2-3x-2
The first term is, 2x2 its coefficient is 2 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
2x2 - 4x + 1x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-2)
Add up the last 2 terms, pulling out common factors :
1 • (x-2)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (x-2)
Which is the desired factorization