cheergirl21
cheergirl21 cheergirl21
  • 17-09-2017
  • Mathematics
contestada

How can I solve this equation 5x^2-2x-6=-2x^2+9x

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kphung76127
kphung76127 kphung76127
  • 17-09-2017
Add 2x^2 to both sides
7x^2-2x-6=9x

Subtract 9x from both sides
7x^2-11x-6=0

Factor by using slip and slide
x^2-11x-42
(x-14)(x+3)
(x-14/7)(x+3/7)
(x-2)(7x+3)

Then use the Zero Product Property to find roots
x-2=0
x=2

7x+3=0
7x=-3
x=-3/7

Final answer: x=-3/7, x=2
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