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

Question

Solve the equation(The real numbers system)

x \approx 0.467277

Evaluate

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

Remove the parentheses

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

Simplify

More Steps

Evaluate

- 2 x^{3} \times \frac{- 3}{2} \times 4

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

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

Rewrite the expression

2 x^{3} \times \frac{3}{2} \times 4

Multiply the terms

More Steps

Evaluate

2 \times \frac{3}{2} \times 4

Reduce the fraction

1 \times 3 \times 4

Any expression multiplied by 1 remains the same

3 \times 4

Multiply the numbers

12

12 x^{3}

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

Evaluate

More Steps

Evaluate

\frac{1}{5} x - (4 x - 3)

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

\frac{1}{5} x - 4 x + 3

Subtract the terms

More Steps

Evaluate

\frac{1}{5} x - 4 x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{1}{5} - 4) x

Subtract the numbers

- \frac{19}{5} x

- \frac{19}{5} x + 3

12 x^{3} = - \frac{19}{5} x + 3

Move the expression to the left side

12 x^{3} - (- \frac{19}{5} x + 3) = 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

12 x^{3} + \frac{19}{5} x - 3 = 0

Factor the expression

\frac{1}{5} (60 x^{3} + 19 x - 15) = 0

Divide both sides

60 x^{3} + 19 x - 15 = 0

Solution

x \approx 0.467277

Show Solution

Solve the equation(The complex numbers system)

x_{1} \approx - 0.233639 - 0.693129 i, x_{2} \approx - 0.233639 + 0.693129 i, x_{3} \approx 0.467277

Evaluate

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

Remove the parentheses

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

Simplify

More Steps

Evaluate

- 2 x^{3} \times \frac{- 3}{2} \times 4

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

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

Rewrite the expression

2 x^{3} \times \frac{3}{2} \times 4

Multiply the terms

More Steps

Evaluate

2 \times \frac{3}{2} \times 4

Reduce the fraction

1 \times 3 \times 4

Any expression multiplied by 1 remains the same

3 \times 4

Multiply the numbers

12

12 x^{3}

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

Subtract the terms

More Steps

Evaluate

\frac{1}{5} x - (4 x - 3)

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

\frac{1}{5} x - 4 x + 3

Subtract the terms

More Steps

Evaluate

\frac{1}{5} x - 4 x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{1}{5} - 4) x

Subtract the numbers

- \frac{19}{5} x

- \frac{19}{5} x + 3

12 x^{3} = - \frac{19}{5} x + 3

Move the expression to the left side

12 x^{3} - (- \frac{19}{5} x + 3) = 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

12 x^{3} + \frac{19}{5} x - 3 = 0

Factor the expression

\frac{1}{5} (60 x^{3} + 19 x - 15) = 0

Divide both sides

60 x^{3} + 19 x - 15 = 0

Calculate

x \approx 0.467277 x \approx - 0.233639 + 0.693129 i x \approx - 0.233639 - 0.693129 i

Solution

x_{1} \approx - 0.233639 - 0.693129 i, x_{2} \approx - 0.233639 + 0.693129 i, x_{3} \approx 0.467277

Show Solution

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

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