(5x^2-108)/3=4x

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Solution for (5x^2-108)/3=4x equation:


x in (-oo:+oo)

(5*x^2-108)/3 = 4*x // - 4*x

(5*x^2-108)/3-(4*x) = 0

(5*x^2-108)/3-4*x = 0

(5*x^2-108)/3+(-4*3*x)/3 = 0

5*x^2-4*3*x-108 = 0

5*x^2-12*x-108 = 0

5*x^2-12*x-108 = 0

5*x^2-12*x-108 = 0

DELTA = (-12)^2-(-108*4*5)

DELTA = 2304

DELTA > 0

x = (2304^(1/2)+12)/(2*5) or x = (12-2304^(1/2))/(2*5)

x = 6 or x = -18/5

(x+18/5)*(x-6) = 0

((x+18/5)*(x-6))/3 = 0

((x+18/5)*(x-6))/3 = 0 // * 3

(x+18/5)*(x-6) = 0

( x+18/5 )

x+18/5 = 0 // - 18/5

x = -18/5

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -18/5, 6 }

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