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

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


x in (-oo:+oo)

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

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

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

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

(3/4*x*(x-4))/4+(-5*4)/4 = 0

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

3/4*x^2-3*x-20 = 0

3/4*x^2-3*x-20 = 0

3/4*x^2-3*x-20 = 0

DELTA = (-3)^2-(-20*3/4*4)

DELTA = 69

DELTA > 0

x = (69^(1/2)+3)/(3/4*2) or x = (3-69^(1/2))/(3/4*2)

x = 2/3*(69^(1/2)+3) or x = 2/3*(3-69^(1/2))

(x-2/3*(3-69^(1/2)))*(x-2/3*(69^(1/2)+3)) = 0

((x-2/3*(3-69^(1/2)))*(x-2/3*(69^(1/2)+3)))/4 = 0

((x-2/3*(3-69^(1/2)))*(x-2/3*(69^(1/2)+3)))/4 = 0 // * 4

(x-2/3*(3-69^(1/2)))*(x-2/3*(69^(1/2)+3)) = 0

( x-2/3*(3-69^(1/2)) )

x-2/3*(3-69^(1/2)) = 0 // + -2/3*(3-69^(1/2))

x = -(-2/3*(3-69^(1/2)))

x = 2/3*(3-69^(1/2))

( x-2/3*(69^(1/2)+3) )

x-2/3*(69^(1/2)+3) = 0 // + -2/3*(69^(1/2)+3)

x = -(-2/3*(69^(1/2)+3))

x = 2/3*(69^(1/2)+3)

x in { 2/3*(3-69^(1/2)), 2/3*(69^(1/2)+3) }

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