(0.25)^5=4((5x-3)/3)(0.125)^6x

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Solution for (0.25)^5=4((5x-3)/3)(0.125)^6x equation: 


x in (-oo:+oo)

0.25^5 = 4*0.125^6*x*((5*x-3)/3) // - 4*0.125^6*x*((5*x-3)/3)

0.25^5-(4*0.125^6*x*((5*x-3)/3)) = 0

(-4/3)*0.125^6*x*(5*x-3)+0.25^5 = 0

0.25^5-4/3*0.125^6*x*(5*x-3) = 0

0.25^5-4/3*0.125^6*x*(5*x-3) = 0

4*0.125^6*x-20/3*0.125^6*x^2+0.25^5 = 0

4*0.125^6*x-20/3*0.125^6*x^2+0.25^5 = 0

4*0.125^6*x-20/3*0.125^6*x^2+0.25^5 = 0

DELTA = (4*0.125^6)^2-(-20/3*4*0.125^6*0.25^5)

DELTA = 80/3*0.25^5*0.125^6

DELTA = 0.000000099218496012402312

DELTA > 0

x = ((80/3*0.25^5*0.125^6)^(1/2)-(4*0.125^6))/(-20/3*2*0.125^6) or x = (-(4*0.125^6)-(80/3*0.25^5*0.125^6)^(1/2))/(-20/3*2*0.125^6)

x = -3/40*((80/3)^(1/2)*0.25^(5/2)*0.125^3-4*0.125^6)*0.125^-6 or x = -3/40*(-4*0.125^6-((80/3)^(1/2)*0.25^(5/2)*0.125^3))*0.125^-6

(x+98304/5*((80/3)^(1/2)*0.25^(5/2)*0.125^3-4*0.125^6))*(x+98304/5*(-4*0.125^6-((80/3)^(1/2)*0.25^(5/2)*0.125^3))) = 0

(x+98304/5*((80/3)^(1/2)*0.25^(5/2)*0.125^3-4*0.125^6))*(x+98304/5*(-4*0.125^6-((80/3)^(1/2)*0.25^(5/2)*0.125^3))) = 0

( x+98304/5*((80/3)^(1/2)*0.25^(5/2)*0.125^3-4*0.125^6) )

x+98304/5*((80/3)^(1/2)*0.25^(5/2)*0.125^3-4*0.125^6) = 0 // - 98304/5*((80/3)^(1/2)*0.25^(5/2)*0.125^3-4*0.125^6)

x = -(98304/5*((80/3)^(1/2)*0.25^(5/2)*0.125^3-4*0.125^6))

x = -98304/5*((80/3)^(1/2)*0.25^(5/2)*0.125^3-4*0.125^6)

( x+98304/5*(-4*0.125^6-((80/3)^(1/2)*0.25^(5/2)*0.125^3)) )

x+98304/5*(-4*0.125^6-((80/3)^(1/2)*0.25^(5/2)*0.125^3)) = 0 // - 98304/5*(-4*0.125^6-((80/3)^(1/2)*0.25^(5/2)*0.125^3))

x = -(98304/5*(-4*0.125^6-((80/3)^(1/2)*0.25^(5/2)*0.125^3)))

x = -98304/5*(-4*0.125^6-((80/3)^(1/2)*0.25^(5/2)*0.125^3))

x in { -98304/5*((80/3)^(1/2)*0.25^(5/2)*0.125^3-4*0.125^6), -98304/5*(-4*0.125^6-((80/3)^(1/2)*0.25^(5/2)*0.125^3)) }

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