(2x^2+x-3/4x^2-9)(7x^2-7x/5x-5)

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Solution for (2x^2+x-3/4x^2-9)(7x^2-7x/5x-5) equation: 


x in (-oo:+oo)

(2*x^2-((3/4)*x^2)+x-9)*(7*x^2-(((7*x)/5)*x)-5) = 0

(2*x^2+(-3/4)*x^2+x-9)*(7*x^2+(-7/5)*x^2-5) = 0

(5/4*x^2+x-9)*(28/5*x^2-5) = 0

5/4*x^2+x-9 = 0

5/4*x^2+x-9 = 0

DELTA = 1^2-(-9*5/4*4)

DELTA = 46

DELTA > 0

x = (46^(1/2)-1)/(5/4*2) or x = (-46^(1/2)-1)/(5/4*2)

x = 2/5*(46^(1/2)-1) or x = -2/5*(46^(1/2)+1)

(x+2/5*(46^(1/2)+1))*(x-2/5*(46^(1/2)-1)) = 0

(x+2/5*(46^(1/2)+1))*(x-2/5*(46^(1/2)-1))*(28/5*x^2-5) = 0

( 28/5*x^2-5 )

28/5*x^2 = 5 // : 28/5

x^2 = 25/28

x^2 = 25/28 // ^ 1/2

abs(x) = (25/28)^(1/2)

x = (25/28)^(1/2) or x = -(25/28)^(1/2)

( x+2/5*(46^(1/2)+1) )

x+2/5*(46^(1/2)+1) = 0 // - 2/5*(46^(1/2)+1)

x = -(2/5*(46^(1/2)+1))

x = -2/5*(46^(1/2)+1)

( x-2/5*(46^(1/2)-1) )

x-2/5*(46^(1/2)-1) = 0 // + -2/5*(46^(1/2)-1)

x = -(-2/5*(46^(1/2)-1))

x = 2/5*(46^(1/2)-1)

x in { (25/28)^(1/2), -(25/28)^(1/2), -2/5*(46^(1/2)+1), 2/5*(46^(1/2)-1) }

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