Solve 276=2(w^38) 2w

Evaluate

276 = 2 (w^{3} \times 8) \times 2 w

Remove the parentheses

276 = 2 w^{3} \times 8 \times 2 w

Multiply

More Steps

276 = 32 w^{4}

Swap the sides of the equation

32 w^{4} = 276

Divide both sides

\frac{32 w ^{4}}{32} = \frac{276}{32}

Divide the numbers

w^{4} = \frac{276}{32}

Cancel out the common factor 4

w^{4} = \frac{69}{8}

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

w = \pm 4 \frac{69}{8}

Simplify the expression

More Steps

w = \pm \frac{4 138}{2}

Separate the equation into 2 possible cases

w = \frac{4 138}{2} w = - \frac{4 138}{2}

Solution

w_{1} = - \frac{4 138}{2}, w_{2} = \frac{4 138}{2}

Alternative Form

w_{1} \approx - 1.71372, w_{2} \approx 1.71372

Solve the equation