(4-6x)/(x^2+3x-10)=-2

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Solution for (4-6x)/(x^2+3x-10)=-2 equation:


D( x )

x^2+3*x-10 = 0

x^2+3*x-10 = 0

x^2+3*x-10 = 0

x^2+3*x-10 = 0

DELTA = 3^2-(-10*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-3)/(1*2) or x = (-49^(1/2)-3)/(1*2)

x = 2 or x = -5

x in (-oo:-5) U (-5:2) U (2:+oo)

(4-(6*x))/(x^2+3*x-10) = -2 // + 2

(4-(6*x))/(x^2+3*x-10)+2 = 0

(4-6*x)/(x^2+3*x-10)+2 = 0

x^2+3*x-10 = 0

x^2+3*x-10 = 0

x^2+3*x-10 = 0

DELTA = 3^2-(-10*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-3)/(1*2) or x = (-49^(1/2)-3)/(1*2)

x = 2 or x = -5

(x+5)*(x-2) = 0

(4-6*x)/((x+5)*(x-2))+2 = 0

(4-6*x)/((x+5)*(x-2))+(2*(x+5)*(x-2))/((x+5)*(x-2)) = 0

2*(x+5)*(x-2)-6*x+4 = 0

2*x^2-16 = 0

(2*x^2-16)/((x+5)*(x-2)) = 0

(2*x^2-16)/((x+5)*(x-2)) = 0 // * (x+5)*(x-2)

2*x^2-16 = 0

2*x^2 = 16 // : 2

x^2 = 8

x^2 = 8 // ^ 1/2

abs(x) = 2*2^(1/2)

x = 2*2^(1/2) or x = -(2*2^(1/2))

x in { 2*2^(1/2), -(2*2^(1/2)) }

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