(2x-5)(x)(1/2)=75

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Solution for (2x-5)(x)(1/2)=75 equation: 


x in (-oo:+oo)

(1/2)*x*(2*x-5) = 75 // - 75

(1/2)*x*(2*x-5)-75 = 0

1/2*x*(2*x-5)-75 = 0

1/2*x*(2*x-5)-75 = 0

x^2-5/2*x-75 = 0

x^2-5/2*x-75 = 0

x^2-5/2*x-75 = 0

DELTA = (-5/2)^2-(-75*1*4)

DELTA = 1225/4

DELTA > 0

x = ((1225/4)^(1/2)+5/2)/(1*2) or x = (5/2-(1225/4)^(1/2))/(1*2)

x = 10 or x = -15/2

(x+15/2)*(x-10) = 0

(x+15/2)*(x-10) = 0

( x+15/2 )

x+15/2 = 0 // - 15/2

x = -15/2

( x-10 )

x-10 = 0 // + 10

x = 10

x in { -15/2, 10 }

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