Solution - Simplification or other simple results
2*(8t^2-106t-15)
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(24t2 - 212t) - 30
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
16t2 - 212t - 30 = 2 • (8t2 - 106t - 15)
Trying to factor by splitting the middle term
3.2 Factoring 8t2 - 106t - 15
The first term is, 8t2 its coefficient is 8 .
The middle term is, -106t its coefficient is -106 .
The last term, "the constant", is -15
Step-1 : Multiply the coefficient of the first term by the constant 8 • -15 = -120
Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is -106 .
| -120 | + | 1 | = | -119 | ||
| -60 | + | 2 | = | -58 | ||
| -40 | + | 3 | = | -37 | ||
| -30 | + | 4 | = | -26 | ||
| -24 | + | 5 | = | -19 | ||
| -20 | + | 6 | = | -14 | ||
| -15 | + | 8 | = | -7 | ||
| -12 | + | 10 | = | -2 | ||
| -10 | + | 12 | = | 2 | ||
| -8 | + | 15 | = | 7 | ||
| -6 | + | 20 | = | 14 | ||
| -5 | + | 24 | = | 19 | ||
| -4 | + | 30 | = | 26 | ||
| -3 | + | 40 | = | 37 | ||
| -2 | + | 60 | = | 58 | ||
| -1 | + | 120 | = | 119 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
2 • (8t2 - 106t - 15)
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