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

Evaluate

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

Multiply the terms

- 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 ( - 63 ) ^{2} - 4 \times 83 ( - 9 )}{2 \times 83}

Simplify the expression

x = \frac{63 \pm ( - 63 ) ^{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}

Solution

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

Alternative Form

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

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