(x-28)+(2x-16)(1/2x+14)=180

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Solution for (x-28)+(2x-16)(1/2x+14)=180 equation:


x in (-oo:+oo)

(2*x-16)*((1/2)*x+14)+x-28 = 180 // - 180

(2*x-16)*((1/2)*x+14)+x-180-28 = 0

(2*x-16)*(1/2*x+14)+x-180-28 = 0

(2*x-16)*(1/2*x+14)+x-180-28 = 0

x^2+21*x-224-180-28 = 0

x^2+21*x-404-28 = 0

x^2+21*x-432 = 0

x^2+21*x-432 = 0

x^2+21*x-432 = 0

DELTA = 21^2-(-432*1*4)

DELTA = 2169

DELTA > 0

x = (2169^(1/2)-21)/(1*2) or x = (-2169^(1/2)-21)/(1*2)

x = (3*241^(1/2)-21)/2 or x = (-3*241^(1/2)-21)/2

(x-((-3*241^(1/2)-21)/2))*(x-((3*241^(1/2)-21)/2)) = 0

(x-((-3*241^(1/2)-21)/2))*(x-((3*241^(1/2)-21)/2)) = 0

( x-((-3*241^(1/2)-21)/2) )

x-((-3*241^(1/2)-21)/2) = 0 // + (-3*241^(1/2)-21)/2

x = (-3*241^(1/2)-21)/2

( x-((3*241^(1/2)-21)/2) )

x-((3*241^(1/2)-21)/2) = 0 // + (3*241^(1/2)-21)/2

x = (3*241^(1/2)-21)/2

x in { (-3*241^(1/2)-21)/2, (3*241^(1/2)-21)/2 }

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