Solve (2x 1)(x 1)(4x^3)^(2)=810

Evaluate

(2 x \times 1) (x \times 1) (4 x^{3})^{2} = 810

Remove the parentheses

2 x \times 1 \times x \times 1 \times (4 x^{3})^{2} = 810

Multiply the terms

More Steps

32 x^{8} = 810

Divide both sides

\frac{32 x ^{8}}{32} = \frac{810}{32}

Divide the numbers

x^{8} = \frac{810}{32}

Cancel out the common factor 2

x^{8} = \frac{405}{16}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 8 \frac{405}{16}

Simplify the expression

More Steps

x = \pm \frac{8 6480}{2}

Separate the equation into 2 possible cases

x = \frac{8 6480}{2} x = - \frac{8 6480}{2}

Solution

x_{1} = - \frac{8 6480}{2}, x_{2} = \frac{8 6480}{2}

Alternative Form

x_{1} \approx - 1.497673, x_{2} \approx 1.497673

Solve the equation