Solve -4^3 3 x -4^2 - 9 x -4 6

Question

Simplify the expression

- 201 x - 62

Evaluate

- 4^{3} \times 3 x - 4^{2} - 9 x - 46

Multiply the terms

More Steps

Multiply the terms

- 4^{3} \times 3 x

Multiply the terms

More Steps

Evaluate

4^{3} \times 3

Evaluate the power

64 \times 3

Multiply the numbers

192

- 192 x

- 192 x - 4^{2} - 9 x - 46

Evaluate the power

- 192 x - 16 - 9 x - 46

Subtract the terms

More Steps

Evaluate

- 192 x - 9 x

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

(- 192 - 9) x

Subtract the numbers

- 201 x

- 201 x - 16 - 46

Solution

- 201 x - 62

Show Solution

Find the roots

x = - \frac{62}{201}

Alternative Form

x \approx - 0.308458

Evaluate

- 4^{3} \times 3 x - 4^{2} - 9 x - 46

To find the roots of the expression,set the expression equal to 0

- 4^{3} \times 3 x - 4^{2} - 9 x - 46 = 0

Multiply the terms

More Steps

Multiply the terms

4^{3} \times 3 x

Multiply the terms

More Steps

Evaluate

4^{3} \times 3

Evaluate the power

64 \times 3

Multiply the numbers

192

192 x

- 192 x - 4^{2} - 9 x - 46 = 0

Evaluate the power

- 192 x - 16 - 9 x - 46 = 0

Subtract the terms

More Steps

Simplify

- 192 x - 16 - 9 x

Subtract the terms

More Steps

Evaluate

- 192 x - 9 x

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

(- 192 - 9) x

Subtract the numbers

- 201 x

- 201 x - 16

- 201 x - 16 - 46 = 0

Subtract the numbers

- 201 x - 62 = 0

Move the constant to the right-hand side and change its sign

- 201 x = 0 + 62

Removing 0 doesn't change the value,so remove it from the expression

- 201 x = 62

Change the signs on both sides of the equation

201 x = - 62

Divide both sides

\frac{201 x}{201} = \frac{- 62}{201}

Divide the numbers

x = \frac{- 62}{201}

Solution

x = - \frac{62}{201}

Alternative Form

x \approx - 0.308458

Show Solution