Solution - Simplification or other simple results
-3w^2-9w-4
Other Ways to Solve
Simplification or other simple resultsStep by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "w2" was replaced by "w^2". 1 more similar replacement(s).
Step 1 :
Equation at the end of step 1 :
(((3•(w2))-5w)-6)-(((2•3w2)+4w)-2)Step 2 :
Equation at the end of step 2 :
((3w2 - 5w) - 6) - (6w2 + 4w - 2)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-3w2 - 9w - 4 = -1 • (3w2 + 9w + 4)
Trying to factor by splitting the middle term
4.2 Factoring 3w2 + 9w + 4
The first term is, 3w2 its coefficient is 3 .
The middle term is, +9w its coefficient is 9 .
The last term, "the constant", is +4
Step-1 : Multiply the coefficient of the first term by the constant 3 • 4 = 12
Step-2 : Find two factors of 12 whose sum equals the coefficient of the middle term, which is 9 .
| -12 | + | -1 | = | -13 | ||
| -6 | + | -2 | = | -8 | ||
| -4 | + | -3 | = | -7 | ||
| -3 | + | -4 | = | -7 | ||
| -2 | + | -6 | = | -8 | ||
| -1 | + | -12 | = | -13 | ||
| 1 | + | 12 | = | 13 | ||
| 2 | + | 6 | = | 8 | ||
| 3 | + | 4 | = | 7 | ||
| 4 | + | 3 | = | 7 | ||
| 6 | + | 2 | = | 8 | ||
| 12 | + | 1 | = | 13 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
-3w2 - 9w - 4