Solve x-4(x-3)=10-(4x^3)

Question

Solve the equation(The real numbers system)

x \approx - 1.097912

Evaluate

x - 4 (x - 3) = 10 - 4 x^{3}

Move the expression to the left side

x - 4 (x - 3) - (10 - 4 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

x - 4 (x - 3) - 10 + 4 x^{3} = 0

Calculate the sum or difference

More Steps

Evaluate

x - 4 (x - 3) - 10 + 4 x^{3}

Expand the expression

More Steps

Calculate

- 4 (x - 3)

Apply the distributive property

- 4 x - (- 4 \times 3)

Multiply the numbers

- 4 x - (- 12)

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 + 12

x - 4 x + 12 - 10 + 4 x^{3}

Subtract the terms

More Steps

Evaluate

x - 4 x

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

(1 - 4) x

Subtract the numbers

- 3 x

- 3 x + 12 - 10 + 4 x^{3}

Subtract the numbers

- 3 x + 2 + 4 x^{3}

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

Solution

x \approx - 1.097912

Show Solution

Solve the equation(The complex numbers system)

x_{1} \approx 0.548956 - 0.392502 i, x_{2} \approx 0.548956 + 0.392502 i, x_{3} \approx - 1.097912

Evaluate

x - 4 (x - 3) = 10 - 4 x^{3}

Move the expression to the left side

x - 4 (x - 3) - (10 - 4 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

x - 4 (x - 3) - 10 + 4 x^{3} = 0

Calculate the sum or difference

More Steps

Evaluate

x - 4 (x - 3) - 10 + 4 x^{3}

Expand the expression

More Steps

Calculate

- 4 (x - 3)

Apply the distributive property

- 4 x - (- 4 \times 3)

Multiply the numbers

- 4 x - (- 12)

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 + 12

x - 4 x + 12 - 10 + 4 x^{3}

Subtract the terms

More Steps

Evaluate

x - 4 x

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

(1 - 4) x

Subtract the numbers

- 3 x

- 3 x + 12 - 10 + 4 x^{3}

Subtract the numbers

- 3 x + 2 + 4 x^{3}

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

Calculate

x \approx - 1.097912 x \approx 0.548956 + 0.392502 i x \approx 0.548956 - 0.392502 i

Solution

x_{1} \approx 0.548956 - 0.392502 i, x_{2} \approx 0.548956 + 0.392502 i, x_{3} \approx - 1.097912

Show Solution

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

Graph