2x2-19x=-24 Two solutions were found :
x = 3/2 = 1.500
x = 8 Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x^2-19*x-(-24)=0
Step by step solution Step 1 :
Equation at the end of step 1 : (2x2 - 19x) - -24 = 0
Step 2 :Trying to factor by splitting the middle term
2.1 Factoring 2x2-19x+24
The first term is, 2x2 its coefficient is 2 .
The middle term is, -19x its coefficient is -19 .
The last term, "the constant", is +24
Step-1 : Multiply the coefficient of the first term by the constant 2 • 24 = 48
Step-2 : Find two factors of 48 whose sum equals the coefficient of the middle term, which is -19 .
-48 + -1 = -49 -24 + -2 = -26 -16 + -3 = -19 That's it Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -16 and -3
2x2 - 16x - 3x - 24
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-8)
Add up the last 2 terms, pulling out common factors :
3 • (x-8)
Step-5 : Add up the four terms of step 4 :
(2x-3) • (x-8)
Which is the desired factorization
Equation at the end of step 2 : (x - 8) • (2x - 3) = 0
Step 3
