(2x-7)/4x=1/2

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Solution for (2x-7)/4x=1/2 equation:


x in (-oo:+oo)

x*((2*x-7)/4) = 1/2 // - 1/2

x*((2*x-7)/4)-(1/2) = 0

x*((2*x-7)/4)-1/2 = 0

(x*(2*x-7))/4-1/2 = 0

(2*x*(2*x-7))/(2*4)+(-1*4)/(2*4) = 0

2*x*(2*x-7)-1*4 = 0

4*x^2-14*x-4 = 0

4*x^2-14*x-4 = 0

2*(2*x^2-7*x-2) = 0

2*x^2-7*x-2 = 0

DELTA = (-7)^2-(-2*2*4)

DELTA = 65

DELTA > 0

x = (65^(1/2)+7)/(2*2) or x = (7-65^(1/2))/(2*2)

x = (65^(1/2)+7)/4 or x = (7-65^(1/2))/4

2*(x-((7-65^(1/2))/4))*(x-((65^(1/2)+7)/4)) = 0

(2*(x-((7-65^(1/2))/4))*(x-((65^(1/2)+7)/4)))/(2*4) = 0

(2*(x-((7-65^(1/2))/4))*(x-((65^(1/2)+7)/4)))/(2*4) = 0 // * 2*4

2*(x-((7-65^(1/2))/4))*(x-((65^(1/2)+7)/4)) = 0

( x-((65^(1/2)+7)/4) )

x-((65^(1/2)+7)/4) = 0 // + (65^(1/2)+7)/4

x = (65^(1/2)+7)/4

( x-((7-65^(1/2))/4) )

x-((7-65^(1/2))/4) = 0 // + (7-65^(1/2))/4

x = (7-65^(1/2))/4

x in { (65^(1/2)+7)/4, (7-65^(1/2))/4 }

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