SOLUTION: 27x²+ 3x - 10 = 0 solve the following quadratic equation by factoring

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Question 638010: 27x²+ 3x - 10 = 0 solve the following quadratic equation by factoring
Found 2 solutions by Olowoyeye Ajisola, MathTherapy:
Answer by Olowoyeye Ajisola(2) About Me  (Show Source):
You can put this solution on YOUR website!
27x^2+3x-10=0 To solve this, we make use of formular x=%28-b%2B-sqrt%28b%5E2-4.a.c%29%29%2F2%2Aa x=(-3+-sqrt(3^2-4*27*-10))/2*27 x=-3+-sqrt(9+1080)/54 x=-3+-sqrt(1089)/54 x=-3+-33/54 x=-3+33/54 or -3-33/54 x=30/54 or -36/54 x=5/9 or -2/3

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

27x²+ 3x - 10 = 0 solve the following quadratic equation by factoring

27x%5E2+%2B+3x+-+10+=+0

Factors of 270 (c * a) whose sum is 3 are: 18 & 15, so replacement for b is: (18x - 15x)

27x%5E2+%2B+3x+-+10+=+0 now becomes: 27x%5E2+%2B+18x+-+15x+-+10+=+0

9x(3x + 2) - 5(3x + 2) = 0

(9x - 5)(3x + 2) = 0

9x - 5 = 0 or 3x + 2 = 0

9x = 5 or 3x = - 2

highlight_green%28x+=+5%2F9%29, or highlight_green%28x+=+-+2%2F3%29

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