Solve 2170=w(2w 8)

Evaluate

2170 = w (2 w \times 8)

Remove the parentheses

2170 = w \times 2 w \times 8

Multiply

More Steps

2170 = 16 w^{2}

Swap the sides

16 w^{2} = 2170

Divide both sides

\frac{16 w ^{2}}{16} = \frac{2170}{16}

Divide the numbers

w^{2} = \frac{1085}{8}

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

w = \pm \frac{1085}{8}

Simplify the expression

w = \pm \frac{2170}{4}

Separate the equation into 2 possible cases

w = \frac{2170}{4} w = - \frac{2170}{4}

Solution

w_{1} = - \frac{2170}{4}, w_{2} = \frac{2170}{4}

Alternative Form

w_{1} \approx - 11.645815, w_{2} \approx 11.645815

Solve the quadratic equation