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32 votes
32 votes
Solve for x.6x^2=4x+10

User Rene Koch
by
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1 Answer

24 votes
24 votes

Answer:


x=-1,\displaystyle (5)/(3)

Explanation:

Hi there!


6x^2=4x+10

Move 6x^2 to the other side of the equation:


0=-6x^2+4x+10

Divide both sides by -2:


0=3x^2-2x-5

Factor by grouping:


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

Apply the zero product property:


3x-5 = 0\\3x=5\\\\x=\displaystyle (5)/(3)


x+1=0\\x=-1

Therefore, x = -1, 5/3.

I hope this helps!

User SGodoy
by
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