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Solve the equation 8w^2+1=-8w

User Etheranger
by
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1 Answer

1 vote

Answer:

Certainly! I'd be happy to help you solve this equation.

First, let's start by simplifying the equation:

8w^2 + 1 = -8w

We can start by subtracting 1 from both sides of the equation:

8w^2 = -9w

Now, we can factor the left-hand side of the equation:

8w^2 = 2(2w)^2

Since 2w is a perfect square (2w = √(4w^2)), we can rewrite the equation as:

2(2w)^2 = -9w

Simplifying further:

2(4w^2) = -9w

4w^2 = -9w/2

w^2 = (-9w/2)/4

w^2 = (-9/8)w

The solution to the equation is:

w = ±√(-9/8)

BOLD answer: √(-9/8)

Explanation:

User Seethrough
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