4x/2(x+8)=34

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Solution for 4x/2(x+8)=34 equation:


x in (-oo:+oo)

((4*x)/2)*(x+8) = 34 // - 34

((4*x)/2)*(x+8)-34 = 0

2*x*(x+8)-34 = 0

2*x*(x+8)-34 = 0

2*x^2+16*x-34 = 0

2*x^2+16*x-34 = 0

2*(x^2+8*x-17) = 0

x^2+8*x-17 = 0

DELTA = 8^2-(-17*1*4)

DELTA = 132

DELTA > 0

x = (132^(1/2)-8)/(1*2) or x = (-132^(1/2)-8)/(1*2)

x = (2*33^(1/2)-8)/2 or x = (-2*33^(1/2)-8)/2

2*(x-((-2*33^(1/2)-8)/2))*(x-((2*33^(1/2)-8)/2)) = 0

2*(x-((-2*33^(1/2)-8)/2))*(x-((2*33^(1/2)-8)/2)) = 0

( x-((-2*33^(1/2)-8)/2) )

x-((-2*33^(1/2)-8)/2) = 0 // + (-2*33^(1/2)-8)/2

x = (-2*33^(1/2)-8)/2

( x-((2*33^(1/2)-8)/2) )

x-((2*33^(1/2)-8)/2) = 0 // + (2*33^(1/2)-8)/2

x = (2*33^(1/2)-8)/2

x in { (-2*33^(1/2)-8)/2, (2*33^(1/2)-8)/2 }

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