Solve -7x^216x = -16 - 8x^26x

Question

Solve the equation

x = \frac{3 2}{2}

Alternative Form

x \approx 0.629961

Evaluate

- 7 x^{2} \times 16 x = - 16 - 8 x^{2} \times 6 x

Multiply

More Steps

- 112 x^{3} = - 16 - 8 x^{2} \times 6 x

Multiply

More Steps

- 112 x^{3} = - 16 - 48 x^{3}

Move the expression to the left side

- 112 x^{3} - (- 16 - 48 x^{3}) = 0

Subtract the terms

More Steps

- 64 x^{3} + 16 = 0

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

- 64 x^{3} = 0 - 16

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

- 64 x^{3} = - 16

Change the signs on both sides of the equation

64 x^{3} = 16

Divide both sides

\frac{64 x ^{3}}{64} = \frac{16}{64}

Divide the numbers

x^{3} = \frac{16}{64}

Cancel out the common factor 16

x^{3} = \frac{1}{4}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{1}{4}

Calculate

x = 3 \frac{1}{4}

Solution

More Steps

x = \frac{3 2}{2}

Alternative Form

x \approx 0.629961

Show Solution