3/4x*1/8(x-5)=1/4

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Solution for 3/4x*1/8(x-5)=1/4 equation:


x in (-oo:+oo)

((1*(3/4)*x)/8)*(x-5) = 1/4 // - 1/4

((1*(3/4)*x)/8)*(x-5)-(1/4) = 0

(((3/4)*x)/8)*(x-5)-1/4 = 0

3/32*x*(x-5)-1/4 = 0

(3/32*4*x*(x-5))/4-1/4 = 0

3/32*4*x*(x-5)-1 = 0

3/8*x^2-15/8*x-1 = 0

3/8*x^2-15/8*x-1 = 0

3/8*x^2-15/8*x-1 = 0

DELTA = (-15/8)^2-(-1*3/8*4)

DELTA = 321/64

DELTA > 0

x = ((321/64)^(1/2)+15/8)/(3/8*2) or x = (15/8-(321/64)^(1/2))/(3/8*2)

x = 4/3*((321/64)^(1/2)+15/8) or x = 4/3*(15/8-(321/64)^(1/2))

(x-4/3*(15/8-(321/64)^(1/2)))*(x-4/3*((321/64)^(1/2)+15/8)) = 0

((x-4/3*(15/8-(321/64)^(1/2)))*(x-4/3*((321/64)^(1/2)+15/8)))/4 = 0

((x-4/3*(15/8-(321/64)^(1/2)))*(x-4/3*((321/64)^(1/2)+15/8)))/4 = 0 // * 4

(x-4/3*(15/8-(321/64)^(1/2)))*(x-4/3*((321/64)^(1/2)+15/8)) = 0

( x-4/3*((321/64)^(1/2)+15/8) )

x-4/3*((321/64)^(1/2)+15/8) = 0 // + -4/3*((321/64)^(1/2)+15/8)

x = -(-4/3*((321/64)^(1/2)+15/8))

x = 4/3*((321/64)^(1/2)+15/8)

( x-4/3*(15/8-(321/64)^(1/2)) )

x-4/3*(15/8-(321/64)^(1/2)) = 0 // + -4/3*(15/8-(321/64)^(1/2))

x = -(-4/3*(15/8-(321/64)^(1/2)))

x = 4/3*(15/8-(321/64)^(1/2))

x in { 4/3*((321/64)^(1/2)+15/8), 4/3*(15/8-(321/64)^(1/2)) }

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