Solve 25x ^ 2 + 30x + 7 = 0

Evaluate

25 x^{2} + 30 x + 7 = 0

Substitute a= 25,b= 30 and c= 7 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 30 \pm 3 0 ^{2} - 4 \times 25 \times 7}{2 \times 25}

Simplify the expression

x = \frac{- 30 \pm 3 0 ^{2} - 4 \times 25 \times 7}{50}

Simplify the expression

More Steps

x = \frac{- 30 \pm 200}{50}

Simplify the radical expression

More Steps

x = \frac{- 30 \pm 10 2}{50}

Separate the equation into 2 possible cases

x = \frac{- 30 + 10 2}{50} x = \frac{- 30 - 10 2}{50}

Simplify the expression

More Steps

x = \frac{- 3 + 2}{5} x = \frac{- 30 - 10 2}{50}

Simplify the expression

More Steps

x = \frac{- 3 + 2}{5} x = - \frac{3 + 2}{5}

Solution

x_{1} = - \frac{3 + 2}{5}, x_{2} = \frac{- 3 + 2}{5}

Alternative Form

x_{1} \approx - 0.882843, x_{2} \approx - 0.317157

Solve the quadratic equation