Solve 5q-8=-2q 127q

Evaluate

5 q - 8 = - 2 q \times 127 q

Multiply

More Steps

5 q - 8 = - 254 q^{2}

Swap the sides

- 254 q^{2} = 5 q - 8

Move the expression to the left side

- 254 q^{2} - 5 q + 8 = 0

Multiply both sides

254 q^{2} + 5 q - 8 = 0

Substitute a= 254,b= 5 and c= - 8 into the quadratic formula q = \frac{- b \pm b ^{2} - 4 a c}{2 a}

q = \frac{- 5 \pm 5 ^{2} - 4 \times 254 ( - 8 )}{2 \times 254}

Simplify the expression

q = \frac{- 5 \pm 5 ^{2} - 4 \times 254 ( - 8 )}{508}

Simplify the expression

More Steps

q = \frac{- 5 \pm 8153}{508}

Separate the equation into 2 possible cases

q = \frac{- 5 + 8153}{508} q = \frac{- 5 - 8153}{508}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

q = \frac{- 5 + 8153}{508} q = - \frac{5 + 8153}{508}

Solution

q_{1} = - \frac{5 + 8153}{508}, q_{2} = \frac{- 5 + 8153}{508}

Alternative Form

q_{1} \approx - 0.187587, q_{2} \approx 0.167902

Solve the quadratic equation