Factorize 16x-10/x=27
AqilHameedx:
Should we check the factors of the constant of x^2 term while factorizing?
Answers
Answered by
46
16x-10/x=27
(16x^2-10)/x=27
16(x^2)-10=27x
16(x^2)-10-27x=0
16(x^2)-27x-10=0
16(x^2)-32x+5x-10=0
16x(x-2)+5(x-2)=0
(16x+5)(x-2)=0
16x+5=0 or x-2=0
x=-5/16 or x=2
(16x^2-10)/x=27
16(x^2)-10=27x
16(x^2)-10-27x=0
16(x^2)-27x-10=0
16(x^2)-32x+5x-10=0
16x(x-2)+5(x-2)=0
(16x+5)(x-2)=0
16x+5=0 or x-2=0
x=-5/16 or x=2
Answered by
27
16x - 10/x = 27
16x - 10/x - 27 = 0
(16x² - 10 - 27x)/x = 0
16x² - 27x - 10 = 0
16x² - 32x + 5x - 10 = 0
16x(x-2) + 5(x-2) = 0
(x-2) (16x+5) = 0
x-2 = 0 ; x = 2
16x+5 = 0 ; x = -5/16
16x - 10/x - 27 = 0
(16x² - 10 - 27x)/x = 0
16x² - 27x - 10 = 0
16x² - 32x + 5x - 10 = 0
16x(x-2) + 5(x-2) = 0
(x-2) (16x+5) = 0
x-2 = 0 ; x = 2
16x+5 = 0 ; x = -5/16
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