1/2(5x-2)(2x)=115

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Solution for 1/2(5x-2)(2x)=115 equation: 


x in (-oo:+oo)

2*(1/2)*x*(5*x-2) = 115 // - 115

2*(1/2)*x*(5*x-2)-115 = 0

x*(5*x-2)-115 = 0

x*(5*x-2)-115 = 0

5*x^2-2*x-115 = 0

5*x^2-2*x-115 = 0

5*x^2-2*x-115 = 0

DELTA = (-2)^2-(-115*4*5)

DELTA = 2304

DELTA > 0

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

x = 5 or x = -23/5

(x+23/5)*(x-5) = 0

(x+23/5)*(x-5) = 0

( x+23/5 )

x+23/5 = 0 // - 23/5

x = -23/5

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -23/5, 5 }

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