Solve 2x/x-42x-5/x-3=25/3

Evaluate

(2 \times \frac{x}{x}) - 42 x - \frac{5}{x} - 3 = \frac{25}{3}

Simplify

More Steps

- 1 - 42 x - \frac{5}{x} = \frac{25}{3}

Multiply both sides of the equation by LCD

(- 1 - 42 x - \frac{5}{x}) \times 3 x = \frac{25}{3} \times 3 x

Simplify the equation

More Steps

- 3 x - 126 x^{2} - 15 = \frac{25}{3} \times 3 x

Simplify the equation

- 3 x - 126 x^{2} - 15 = 25 x

Move the expression to the left side

- 3 x - 126 x^{2} - 15 - 25 x = 0

Subtract the terms

More Steps

- 28 x - 126 x^{2} - 15 = 0

Rewrite in standard form

- 126 x^{2} - 28 x - 15 = 0

Multiply both sides

126 x^{2} + 28 x + 15 = 0

Substitute a= 126,b= 28 and c= 15 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 28 \pm 2 8 ^{2} - 4 \times 126 \times 15}{2 \times 126}

Simplify the expression

x = \frac{- 28 \pm 2 8 ^{2} - 4 \times 126 \times 15}{252}

Simplify the expression

More Steps

x = \frac{- 28 \pm - 6776}{252}

Solution

x \in / R

Alternative Form

No real solution

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