3/4x^2+5x=12

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Solution for 3/4x^2+5x=12 equation: 


x in (-oo:+oo)

(3/4)*x^2+5*x = 12 // - 12

(3/4)*x^2+5*x-12 = 0

3/4*x^2+5*x-12 = 0

DELTA = 5^2-(-12*3/4*4)

DELTA = 61

DELTA > 0

x = (61^(1/2)-5)/(3/4*2) or x = (-61^(1/2)-5)/(3/4*2)

x = 2/3*(61^(1/2)-5) or x = -2/3*(61^(1/2)+5)

x in { -2/3*(61^(1/2)+5), 2/3*(61^(1/2)-5) }

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