Solution - Simplification or other simple results
16z^2-40z-25
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "z2" was replaced by "z^2".
Step 1 :
Equation at the end of step 1 :
(24z2 - 40z) - 25
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 16z2-40z-25
The first term is, 16z2 its coefficient is 16 .
The middle term is, -40z its coefficient is -40 .
The last term, "the constant", is -25
Step-1 : Multiply the coefficient of the first term by the constant 16 • -25 = -400
Step-2 : Find two factors of -400 whose sum equals the coefficient of the middle term, which is -40 .
| -400 | + | 1 | = | -399 | ||
| -200 | + | 2 | = | -198 | ||
| -100 | + | 4 | = | -96 | ||
| -80 | + | 5 | = | -75 | ||
| -50 | + | 8 | = | -42 | ||
| -40 | + | 10 | = | -30 | ||
| -25 | + | 16 | = | -9 | ||
| -20 | + | 20 | = | 0 | ||
| -16 | + | 25 | = | 9 | ||
| -10 | + | 40 | = | 30 | ||
| -8 | + | 50 | = | 42 | ||
| -5 | + | 80 | = | 75 | ||
| -4 | + | 100 | = | 96 | ||
| -2 | + | 200 | = | 198 | ||
| -1 | + | 400 | = | 399 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
16z2 - 40z - 25
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