Solve -22=-4(q 11) 2q

Evaluate

- 22 = - 4 (q \times 11) \times 2 q

Remove the parentheses

- 22 = - 4 q \times 11 \times 2 q

Multiply

More Steps

- 22 = - 88 q^{2}

Swap the sides

- 88 q^{2} = - 22

Divide both sides

\frac{- 88 q ^{2}}{- 88} = \frac{- 22}{- 88}

Divide the numbers

q^{2} = \frac{1}{4}

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

q = \pm \frac{1}{4}

Simplify the expression

q = \pm \frac{1}{2}

Separate the equation into 2 possible cases

q = \frac{1}{2} q = - \frac{1}{2}

Solution

q_{1} = - \frac{1}{2}, q_{2} = \frac{1}{2}

Alternative Form

q_{1} = - 0.5, q_{2} = 0.5

Solve the quadratic equation