4(5x-7)/2x=6.5

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Solution for 4(5x-7)/2x=6.5 equation:


x in (-oo:+oo)

x*((4*(5*x-7))/2) = 6.5 // - 6.5

x*((4*(5*x-7))/2)-6.5 = 0

(4*x*(5*x-7))/2-6.5 = 0

(4*x*(5*x-7))/2+(-6.5*2)/2 = 0

4*x*(5*x-7)-6.5*2 = 0

20*x^2-28*x-13 = 0

20*x^2-28*x-13 = 0

20*x^2-28*x-13 = 0

DELTA = (-28)^2-(-13*4*20)

DELTA = 1824

DELTA > 0

x = (1824^(1/2)+28)/(2*20) or x = (28-1824^(1/2))/(2*20)

x = (4*114^(1/2)+28)/40 or x = (28-4*114^(1/2))/40

(x-((28-4*114^(1/2))/40))*(x-((4*114^(1/2)+28)/40)) = 0

((x-((28-4*114^(1/2))/40))*(x-((4*114^(1/2)+28)/40)))/2 = 0

((x-((28-4*114^(1/2))/40))*(x-((4*114^(1/2)+28)/40)))/2 = 0 // * 2

(x-((28-4*114^(1/2))/40))*(x-((4*114^(1/2)+28)/40)) = 0

( x-((28-4*114^(1/2))/40) )

x-((28-4*114^(1/2))/40) = 0 // + (28-4*114^(1/2))/40

x = (28-4*114^(1/2))/40

( x-((4*114^(1/2)+28)/40) )

x-((4*114^(1/2)+28)/40) = 0 // + (4*114^(1/2)+28)/40

x = (4*114^(1/2)+28)/40

x in { (28-4*114^(1/2))/40, (4*114^(1/2)+28)/40 }

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