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Help me please??????????????

Help me please??????????????-example-1
User Bob Baxley
by
2.9k points

1 Answer

22 votes
22 votes

Answer:

x = -3.5 or x = 1.7

Explanation:

Start by factoring the left side.

We need to find two numbers that have a product of -210 (6 * -35) and a sum of 11...

-10*21=-210

-10+21=11

We can rewrite 11x as -10x+21x...


6x^2-10x+21x-35=0

Then, factor the first and second half of the left side individually:


2x(3x-5)+7(3x-5)=0

Since 2x and 7 are both being multiplied by 3x-5, we can combine them to get:


(3x-5)(2x+7)=0

Divide the equation by 3x-5:

2x+7=0

Subtract 7 from both sides

2x=-7

Divide both sides by 2

x=-7/2=-3.5

Now, we also have to consider another answer, in which we divide the equation by 2x+7 instead of 3x-5:

3x-5=0

Add 5 to both sides

3x=5

Divide both sides by 3

x=5/3≈1.7

User Shawnette
by
3.6k points
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