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Blaze Lloyd
Mathematics
7 April, 00:11
How can I solve this equation 5x^2-2x-6=-2x^2+9x
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Monkey
7 April, 00:18
0
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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