Factorise : 36x²+39x+10
Answers
Answer:
36x2+39x+10
Final result :
(12x + 5) • (3x + 2)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((22•32x2) + 39x) + 10
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 36x2+39x+10
The first term is, 36x2 its coefficient is 36 .
The middle term is, +39x its coefficient is 39 .
The last term, "the constant", is +10
Step-1 : Multiply the coefficient of the first term by the constant 36 • 10 = 360
Step-2 : Find two factors of 360 whose sum equals the coefficient of the middle term, which is 39 .
-360 + -1 = -361
-180 + -2 = -182
-120 + -3 = -123
-90 + -4 = -94
-72 + -5 = -77
-60 + -6 = -66
-45 + -8 = -53
-40 + -9 = -49
-36 + -10 = -46
-30 + -12 = -42
-24 + -15 = -39
-20 + -18 = -38
-18 + -20 = -38
-15 + -24 = -39
-12 + -30 = -42
-10 + -36 = -46
-9 + -40 = -49
-8 + -45 = -53
-6 + -60 = -66
-5 + -72 = -77
-4 + -90 = -94
-3 + -120 = -123
-2 + -180 = -182
-1 + -360 = -361
1 + 360 = 361
2 + 180 = 182
3 + 120 = 123
4 + 90 = 94
5 + 72 = 77
6 + 60 = 66
8 + 45 = 53
9 + 40 = 49
10 + 36 = 46
12 + 30 = 42
15 + 24 = 39 That's it
Answer:
x= -5/12
x= -2/3
Step-by-step explanation:
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