Solve (2d^6)/8d^2-72

Evaluate

\frac{2 d ^{6}}{8} d^{2} - 72

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

\frac{2 d ^{6}}{8} d^{2} - 72 = 0

Cancel out the common factor 2

\frac{d ^{6}}{4} d^{2} - 72 = 0

Multiply the terms

More Steps

\frac{d ^{8}}{4} - 72 = 0

Subtract the terms

More Steps

\frac{d ^{8} - 288}{4} = 0

Simplify

d^{8} - 288 = 0

Move the constant to the right side

d^{8} = 288

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

d = \pm 8288

Separate the equation into 2 possible cases

d = 8288 d = - 8288

Solution

d_{1} = - 8288, d_{2} = 8288

Alternative Form

d_{1} \approx - 2.029664, d_{2} \approx 2.029664

Simplify the expression