1/3x1/3(2x-15)=31/2

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Solution for 1/3x1/3(2x-15)=31/2 equation:


x in (-oo:+oo)

(((1/3)*x^1)/3)*(2*x-15) = 31/2 // - 31/2

(((1/3)*x^1)/3)*(2*x-15)-(31/2) = 0

(((1/3)*x)/3)*(2*x-15)-31/2 = 0

1/9*x*(2*x-15)-31/2 = 0

(1/9*2*x*(2*x-15))/2-31/2 = 0

1/9*2*x*(2*x-15)-31 = 0

4/9*x^2-10/3*x-31 = 0

4/9*x^2-10/3*x-31 = 0

4/9*x^2-10/3*x-31 = 0

DELTA = (-10/3)^2-(-31*4/9*4)

DELTA = 596/9

DELTA > 0

x = ((596/9)^(1/2)+10/3)/(4/9*2) or x = (10/3-(596/9)^(1/2))/(4/9*2)

x = 9/8*((596/9)^(1/2)+10/3) or x = 9/8*(10/3-(596/9)^(1/2))

(x-9/8*(10/3-(596/9)^(1/2)))*(x-9/8*((596/9)^(1/2)+10/3)) = 0

((x-9/8*(10/3-(596/9)^(1/2)))*(x-9/8*((596/9)^(1/2)+10/3)))/2 = 0

((x-9/8*(10/3-(596/9)^(1/2)))*(x-9/8*((596/9)^(1/2)+10/3)))/2 = 0 // * 2

(x-9/8*(10/3-(596/9)^(1/2)))*(x-9/8*((596/9)^(1/2)+10/3)) = 0

( x-9/8*((596/9)^(1/2)+10/3) )

x-9/8*((596/9)^(1/2)+10/3) = 0 // + -9/8*((596/9)^(1/2)+10/3)

x = -(-9/8*((596/9)^(1/2)+10/3))

x = 9/8*((596/9)^(1/2)+10/3)

( x-9/8*(10/3-(596/9)^(1/2)) )

x-9/8*(10/3-(596/9)^(1/2)) = 0 // + -9/8*(10/3-(596/9)^(1/2))

x = -(-9/8*(10/3-(596/9)^(1/2)))

x = 9/8*(10/3-(596/9)^(1/2))

x in { 9/8*((596/9)^(1/2)+10/3), 9/8*(10/3-(596/9)^(1/2)) }

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