Solve -5x^2+7x=-9

Evaluate

- 5 x^{2} + 7 x = - 9

Move the expression to the left side

- 5 x^{2} + 7 x + 9 = 0

Multiply both sides

5 x^{2} - 7 x - 9 = 0

Substitute a= 5,b= - 7 and c= - 9 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 5 ( - 9 )}{2 \times 5}

Simplify the expression

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 5 ( - 9 )}{10}

Simplify the expression

More Steps

x = \frac{7 \pm 229}{10}

Separate the equation into 2 possible cases

x = \frac{7 + 229}{10} x = \frac{7 - 229}{10}

Solution

x_{1} = \frac{7 - 229}{10}, x_{2} = \frac{7 + 229}{10}

Alternative Form

x_{1} \approx - 0.813275, x_{2} \approx 2.213275

Solve the quadratic equation