(8x^2-3)/(5)=2-(9x^2-5)/(4)

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Solution for (8x^2-3)/(5)=2-(9x^2-5)/(4) equation:


x in (-oo:+oo)

(8*x^2-3)/5 = 2-((9*x^2-5)/4) // - 2-((9*x^2-5)/4)

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

(4*(8*x^2-3))/(4*5)+(5*(9*x^2-5))/(4*5)+(-2*4*5)/(4*5) = 0

4*(8*x^2-3)+5*(9*x^2-5)-2*4*5 = 0

77*x^2-40-37 = 0

77*x^2-77 = 0

(77*x^2-77)/(4*5) = 0

(77*x^2-77)/(4*5) = 0 // * 4*5

77*x^2-77 = 0

77*x^2 = 77 // : 77

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 1, -1 }

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