Solve -83(x^2)=-(-7x 9)-9

Evaluate

- 83 x^{2} = - (- 7 x \times 9) - 9

Simplify

More Steps

- 83 x^{2} = 63 x - 9

Move the expression to the left side

- 83 x^{2} - 63 x + 9 = 0

Multiply both sides

83 x^{2} + 63 x - 9 = 0

Substitute a= 83,b= 63 and c= - 9 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 63 \pm 6 3 ^{2} - 4 \times 83 ( - 9 )}{2 \times 83}

Simplify the expression

x = \frac{- 63 \pm 6 3 ^{2} - 4 \times 83 ( - 9 )}{166}

Simplify the expression

More Steps

x = \frac{- 63 \pm 6957}{166}

Simplify the radical expression

More Steps

x = \frac{- 63 \pm 3 773}{166}

Separate the equation into 2 possible cases

x = \frac{- 63 + 3 773}{166} x = \frac{- 63 - 3 773}{166}

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

x = \frac{- 63 + 3 773}{166} x = - \frac{63 + 3 773}{166}

Solution

x_{1} = - \frac{63 + 3 773}{166}, x_{2} = \frac{- 63 + 3 773}{166}

Alternative Form

x_{1} \approx - 0.88198, x_{2} \approx 0.122944

Solve the quadratic equation