-4/5x-1+1/3x-5=6/15x^2-28x+5

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Solution for -4/5x-1+1/3x-5=6/15x^2-28x+5 equation:


x in (-oo:+oo)

(-4/5)*x+(1/3)*x-5-1 = (6/15)*x^2-(28*x)+5 // - (6/15)*x^2-(28*x)+5

(-4/5)*x-((6/15)*x^2)+(1/3)*x+28*x-5-5-1 = 0

(-2/5)*x^2+(-4/5)*x+(1/3)*x+28*x-5-5-1 = 0

413/15*x-2/5*x^2-11 = 0

DELTA = (413/15)^2-(-11*(-2/5)*4)

DELTA = 166609/225

DELTA > 0

x = ((166609/225)^(1/2)-413/15)/(-2/5*2) or x = (-(166609/225)^(1/2)-413/15)/(-2/5*2)

x = -5/4*((166609/225)^(1/2)-413/15) or x = 5/4*((166609/225)^(1/2)+413/15)

x in { -5/4*((166609/225)^(1/2)-413/15), 5/4*((166609/225)^(1/2)+413/15) }

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