750=(((2x+30)+30)/2)*x

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Solution for 750=(((2x+30)+30)/2)*x equation: 


x in (-oo:+oo)

750 = x*((2*x+30+30)/2) // - x*((2*x+30+30)/2)

750-(x*((2*x+30+30)/2)) = 0

(-1*x*(2*x+60))/2+750 = 0

(-1*x*(2*x+60))/2+(2*750)/2 = 0

2*750-1*x*(2*x+60) = 0

1500-2*x^2-60*x = 0

1500-2*x^2-60*x = 0

2*(750-x^2-30*x) = 0

750-x^2-30*x = 0

DELTA = (-30)^2-(-1*4*750)

DELTA = 3900

DELTA > 0

x = (3900^(1/2)+30)/(-1*2) or x = (30-3900^(1/2))/(-1*2)

x = (10*39^(1/2)+30)/(-2) or x = (30-10*39^(1/2))/(-2)

2*(x-((10*39^(1/2)+30)/(-2)))*(x-((30-10*39^(1/2))/(-2))) = 0

(2*(x-((10*39^(1/2)+30)/(-2)))*(x-((30-10*39^(1/2))/(-2))))/2 = 0

(2*(x-((10*39^(1/2)+30)/(-2)))*(x-((30-10*39^(1/2))/(-2))))/2 = 0 // * 2

2*(x-((10*39^(1/2)+30)/(-2)))*(x-((30-10*39^(1/2))/(-2))) = 0

( x-((10*39^(1/2)+30)/(-2)) )

x-((10*39^(1/2)+30)/(-2)) = 0 // + (10*39^(1/2)+30)/(-2)

x = (10*39^(1/2)+30)/(-2)

( x-((30-10*39^(1/2))/(-2)) )

x-((30-10*39^(1/2))/(-2)) = 0 // + (30-10*39^(1/2))/(-2)

x = (30-10*39^(1/2))/(-2)

x in { (10*39^(1/2)+30)/(-2), (30-10*39^(1/2))/(-2) }

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