(1/2x-1/4)(2x-3)=35/4

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Solution for (1/2x-1/4)(2x-3)=35/4 equation: 


x in (-oo:+oo)

((1/2)*x-(1/4))*(2*x-3) = 35/4 // - 35/4

((1/2)*x-(1/4))*(2*x-3)-(35/4) = 0

((1/2)*x-1/4)*(2*x-3)-35/4 = 0

(1/2*x-1/4)*(2*x-3)-35/4 = 0

(4*(1/2*x-1/4)*(2*x-3))/4-35/4 = 0

4*(1/2*x-1/4)*(2*x-3)-35 = 0

4*x^2-8*x-32 = 0

4*x^2-8*x-32 = 0

4*(x^2-2*x-8) = 0

x^2-2*x-8 = 0

DELTA = (-2)^2-(-8*1*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)+2)/(1*2) or x = (2-36^(1/2))/(1*2)

x = 4 or x = -2

4*(x+2)*(x-4) = 0

(4*(x+2)*(x-4))/4 = 0

(4*(x+2)*(x-4))/4 = 0 // * 4

4*(x+2)*(x-4) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -2, 4 }

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