Solve -4(w 1) 6w=2(w^2)-8

Evaluate

- 4 (w \times 1) \times 6 w = 2 w^{2} - 8

Remove the parentheses

- 4 w \times 1 \times 6 w = 2 w^{2} - 8

Multiply the terms

More Steps

- 24 w^{2} = 2 w^{2} - 8

Add or subtract both sides

- 26 w^{2} = - 8

Divide both sides

\frac{- 26 w ^{2}}{- 26} = \frac{- 8}{- 26}

Divide the numbers

w^{2} = \frac{4}{13}

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

w = \pm \frac{4}{13}

Simplify the expression

w = \pm \frac{2 13}{13}

Separate the equation into 2 possible cases

w = \frac{2 13}{13} w = - \frac{2 13}{13}

Solution

w_{1} = - \frac{2 13}{13}, w_{2} = \frac{2 13}{13}

Alternative Form

w_{1} \approx - 0.5547, w_{2} \approx 0.5547

Solve the quadratic equation