Whats the factored form of 6x 2 - 8x - 8 = 0

Answers

Answer 1
Answer:

Answer:

2(x -2)² = 0

Step-by-step explanation:

2(x² - 4x - 4) = 0

2(x -2)² = 0

x = 2

Answer 2
Answer:

Answer:

2(3x-2)(x+2)=6x^2-8x-8

The factored form of 6x^2-8x-8=0 is 2(3x-2)(x+2)=0

Step-by-step explanation:

6x^2-8x-8=0

The way the quadratic equation was given, we can't have a factored form in the format: (ax-b)(cx+d)

First, divide both sides by 2

3x^2-4x-4=0

Now, it is about thinking. From the equation, we will get something in the format:  (ax-b)(cx+d)

Let's expand this: (ax-b)(cx+d) = acx^2+adx-bcx-bd

From here, we can give some values for those variables, based on the quadratic equation 3x^2-4x-4=0:

(3x-b)(x+d) = 3\cdot 1\cdot x^2+3dx-b\cdot 1 \cdot x-bd= \boxed{3x^2+3dx-bx-bd}

Once we want the middle term to be -4 and bd to be 4, we can easily evaluate the other variables.

(3x-2)(x+2) = 3\cdot 1\cdot x^2+3(2)x-(2)\cdot 1 \cdot x-(2)(2)= \boxed{3x^2+6x-4x-4}

Therefore,

(3x-2)(x+2)=3x^2-4x-4

But we are not ready yet!

This is the factored form of 3x^2-4x-4=0, to get the factored form of the problem equation, just multiply the factored form we got by 2.

2(3x-2)(x+2)=6x^2-8x-8


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Please explain the work behind the solution

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Answers

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I hope this helps you and is correct

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Answers

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Answers

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Answers

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Answers

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