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iren [92.7K]
3 years ago
10

Solve the linear equation for x. –4.8(6.3x – 4.18) = –58.56

Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0
X=2.6

step by step explanation:
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6d^2–9d–15 How do i factor this out.
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Answer:

the given expression (6d^2 - 9d- 15) is factored as (d+1)(2 d-5)

Step-by-step explanation:

Here, the given expression is:

6d^2 - 9d- 15= 0

Now, simplifying the given expression,we get:

6d^2 - 9d- 15= 0 \\\implies 3(2d^2 - 3d- 5) = 0\\\implies 2d^2 - 3d- 5 = 0

Now, we need to split the middle term -3 in such a way, that on addition it given -3 and on multiplication it given -10.

2d^2 - 3d- 5 = 0\\\implies 2d^2 + 2d-  5d - 5 =  0\\\implies 2d(d+1) -5(d+1) = 0\\\implies (d+1)(2d-5)  = 0

So, either(d+1)  = 0 OR (2d-5) = 0

⇒ (6d^2 - 9d- 15) = (d+1)(2d-5)

Hence the given expression (6d^2 - 9d- 15) is factored as (d+1)(2 d-5) =  0

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