210=1/2*(3x-1)*x

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Solution for 210=1/2*(3x-1)*x equation:


x in (-oo:+oo)

210 = (1/2)*x*(3*x-1) // - (1/2)*x*(3*x-1)

210-((1/2)*x*(3*x-1)) = 0

(-1/2)*x*(3*x-1)+210 = 0

210-1/2*x*(3*x-1) = 0

210-1/2*x*(3*x-1) = 0

1/2*x-3/2*x^2+210 = 0

1/2*x-3/2*x^2+210 = 0

1/2*x-3/2*x^2+210 = 0

DELTA = (1/2)^2-(-3/2*4*210)

DELTA = 5041/4

DELTA > 0

x = ((5041/4)^(1/2)-1/2)/(-3/2*2) or x = (-(5041/4)^(1/2)-1/2)/(-3/2*2)

x = -35/3 or x = 12

(x+35/3)*(x-12) = 0

(x+35/3)*(x-12) = 0

( x+35/3 )

x+35/3 = 0 // - 35/3

x = -35/3

( x-12 )

x-12 = 0 // + 12

x = 12

x in { -35/3, 12 }

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