Solve -2x^3( (-3)/2*4)= 1/5 x-(4x-3)

Question

Solve the equation

x_{1} \approx - 0.061557, x_{2} \approx 0.492691

Evaluate

- 2 x^{3} ((- 3) \div 2 \times 4) = 1 \div 5 x - (4 x - 3)

Find the domain

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- 2 x^{3} ((- 3) \div 2 \times 4) = 1 \div 5 x - (4 x - 3), x \neq = 0

Remove the parentheses

- 2 x^{3} (- 3) \div 2 \times 4 = 1 \div 5 x - (4 x - 3)

Simplify

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12 x^{3} = 1 \div 5 x - (4 x - 3)

Simplify

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12 x^{3} = \frac{1}{5 x} - 4 x + 3

Multiply both sides of the equation by LCD

12 x^{3} \times 5 x = (\frac{1}{5 x} - 4 x + 3) \times 5 x

Simplify the equation

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60 x^{4} = (\frac{1}{5 x} - 4 x + 3) \times 5 x

Simplify the equation

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60 x^{4} = 1 - 20 x^{2} + 15 x

Move the expression to the left side

60 x^{4} - (1 - 20 x^{2} + 15 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

60 x^{4} - 1 + 20 x^{2} - 15 x = 0

Calculate

x \approx 0.492691 x \approx - 0.061557

Check if the solution is in the defined range

x \approx 0.492691 x \approx - 0.061557, x \neq = 0

Find the intersection of the solution and the defined range

x \approx 0.492691 x \approx - 0.061557

Solution

x_{1} \approx - 0.061557, x_{2} \approx 0.492691

Show Solution

Solve the equation

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