Solve (4x)(x-3) = 2 12/x-3

Evaluate

4 x (x - 3) = (2 \times \frac{12}{x}) - 3

Find the domain

4 x (x - 3) = (2 \times \frac{12}{x}) - 3, x \neq = 0

Multiply the terms

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4 x (x - 3) = \frac{24}{x} - 3

Multiply both sides of the equation by LCD

4 x (x - 3) x = (\frac{24}{x} - 3) x

Simplify the equation

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4 x^{3} - 12 x^{2} = (\frac{24}{x} - 3) x

Simplify the equation

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4 x^{3} - 12 x^{2} = 24 - 3 x

Move the expression to the left side

4 x^{3} - 12 x^{2} - (24 - 3 x) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

4 x^{3} - 12 x^{2} - 24 + 3 x = 0

Calculate

x \approx 3.318764

Check if the solution is in the defined range

x \approx 3.318764, x \neq = 0

Solution

x \approx 3.318764

Solve the equation

Graph