Solve 7y+4/y+2=-4/3

Evaluate

7 y + \frac{4}{y} + 2 = - \frac{4}{3}

Multiply both sides of the equation by LCD

(7 y + \frac{4}{y} + 2) \times 3 y = - \frac{4}{3} \times 3 y

Simplify the equation

More Steps

21 y^{2} + 12 + 6 y = - \frac{4}{3} \times 3 y

Simplify the equation

21 y^{2} + 12 + 6 y = - 4 y

Move the expression to the left side

21 y^{2} + 12 + 6 y - (- 4 y) = 0

Calculate the sum or difference

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21 y^{2} + 12 + 10 y = 0

Rewrite in standard form

21 y^{2} + 10 y + 12 = 0

Substitute a= 21,b= 10 and c= 12 into the quadratic formula y = \frac{- b \pm b ^{2} - 4 a c}{2 a}

y = \frac{- 10 \pm 1 0 ^{2} - 4 \times 21 \times 12}{2 \times 21}

Simplify the expression

y = \frac{- 10 \pm 1 0 ^{2} - 4 \times 21 \times 12}{42}

Simplify the expression

More Steps

y = \frac{- 10 \pm - 908}{42}

Solution

y \in / R

Alternative Form

No real solution

Solve the equation