3x1/2(5x+2)=14

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Solution for 3x1/2(5x+2)=14 equation:


x in (-oo:+oo)

((3*x^1)/2)*(5*x+2) = 14 // - 14

((3*x^1)/2)*(5*x+2)-14 = 0

((3*x)/2)*(5*x+2)-14 = 0

3/2*x*(5*x+2)-14 = 0

3/2*x*(5*x+2)-14 = 0

15/2*x^2+3*x-14 = 0

15/2*x^2+3*x-14 = 0

15/2*x^2+3*x-14 = 0

DELTA = 3^2-(-14*4*15/2)

DELTA = 429

DELTA > 0

x = (429^(1/2)-3)/(2*15/2) or x = (-429^(1/2)-3)/(2*15/2)

x = (429^(1/2)-3)/15 or x = (-(429^(1/2)+3))/15

(x+(429^(1/2)+3)/15)*(x-((429^(1/2)-3)/15)) = 0

(x+(429^(1/2)+3)/15)*(x-((429^(1/2)-3)/15)) = 0

( x+(429^(1/2)+3)/15 )

x+(429^(1/2)+3)/15 = 0 // - (429^(1/2)+3)/15

x = -((429^(1/2)+3)/15)

( x-((429^(1/2)-3)/15) )

x-((429^(1/2)-3)/15) = 0 // + (429^(1/2)-3)/15

x = (429^(1/2)-3)/15

x in { -((429^(1/2)+3)/15), (429^(1/2)-3)/15 }

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