2q^2+75/2=-20q

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Solution for 2q^2+75/2=-20q equation: 


q in (-oo:+oo)

2*q^2+75/2 = -20*q // + -20*q

2*q^2-(-20*q)+75/2 = 0

2*q^2+20*q+75/2 = 0

2*q^2+20*q+75/2 = 0

DELTA = 20^2-(2*4*75/2)

DELTA = 100

DELTA > 0

q = (100^(1/2)-20)/(2*2) or q = (-100^(1/2)-20)/(2*2)

q = -5/2 or q = -15/2

q in { -15/2, -5/2 }

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