Solve \(-3x-(2x-4)\cdot 2=-6(x^4)-3\)

Question

Solve the equation(The real numbers system)

x \in / R

Evaluate

- 3 x - (2 x - 4) \times 2 = - 6 x^{4} - 3

Evaluate

- 3 x - 2 (2 x - 4) = - 6 x^{4} - 3

Move the expression to the left side

- 3 x - 2 (2 x - 4) - (- 6 x^{4} - 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

- 3 x - 2 (2 x - 4) + 6 x^{4} + 3 = 0

Calculate the sum or difference

More Steps

Evaluate

- 3 x - 2 (2 x - 4) + 6 x^{4} + 3

Expand the expression

More Steps

Calculate

- 2 (2 x - 4)

Apply the distributive property

- 2 \times 2 x - (- 2 \times 4)

Multiply the numbers

- 4 x - (- 2 \times 4)

Multiply the numbers

- 4 x - (- 8)

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 + 8

- 3 x - 4 x + 8 + 6 x^{4} + 3

Subtract the terms

More Steps

Evaluate

- 3 x - 4 x

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

(- 3 - 4) x

Subtract the numbers

- 7 x

- 7 x + 8 + 6 x^{4} + 3

Add the numbers

- 7 x + 11 + 6 x^{4}

- 7 x + 11 + 6 x^{4} = 0

Solution

x \in / R

Show Solution

Solve the equation(The complex numbers system)

x_{1} \approx - 0.836128 - 1.023689 i, x_{2} \approx - 0.836128 + 1.023689 i, x_{3} \approx 0.836128 - 0.591844 i, x_{4} \approx 0.836128 + 0.591844 i

Evaluate

- 3 x - (2 x - 4) \times 2 = - 6 x^{4} - 3

Multiply the terms

- 3 x - 2 (2 x - 4) = - 6 x^{4} - 3

Move the expression to the left side

- 3 x - 2 (2 x - 4) - (- 6 x^{4} - 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

- 3 x - 2 (2 x - 4) + 6 x^{4} + 3 = 0

Calculate the sum or difference

More Steps

Evaluate

- 3 x - 2 (2 x - 4) + 6 x^{4} + 3

Expand the expression

More Steps

Calculate

- 2 (2 x - 4)

Apply the distributive property

- 2 \times 2 x - (- 2 \times 4)

Multiply the numbers

- 4 x - (- 2 \times 4)

Multiply the numbers

- 4 x - (- 8)

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 + 8

- 3 x - 4 x + 8 + 6 x^{4} + 3

Subtract the terms

More Steps

Evaluate

- 3 x - 4 x

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

(- 3 - 4) x

Subtract the numbers

- 7 x

- 7 x + 8 + 6 x^{4} + 3

Add the numbers

- 7 x + 11 + 6 x^{4}

- 7 x + 11 + 6 x^{4} = 0

Calculate

x \approx 0.836128 + 0.591844 i x \approx 0.836128 - 0.591844 i x \approx - 0.836128 + 1.023689 i x \approx - 0.836128 - 1.023689 i

Solution

x_{1} \approx - 0.836128 - 1.023689 i, x_{2} \approx - 0.836128 + 1.023689 i, x_{3} \approx 0.836128 - 0.591844 i, x_{4} \approx 0.836128 + 0.591844 i

Show Solution

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

Graph