Solve (233x) (8x-41)=15

Evaluate

233 x (8 x - 41) = 15

Expand the expression

More Steps

1864 x^{2} - 9553 x = 15

Move the expression to the left side

1864 x^{2} - 9553 x - 15 = 0

Substitute a= 1864,b= - 9553 and c= - 15 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{9553 \pm ( - 9553 ) ^{2} - 4 \times 1864 ( - 15 )}{2 \times 1864}

Simplify the expression

x = \frac{9553 \pm ( - 9553 ) ^{2} - 4 \times 1864 ( - 15 )}{3728}

Simplify the expression

More Steps

x = \frac{9553 \pm 955 3 ^{2} + 111840}{3728}

Simplify the radical expression

x = \frac{9553 \pm 91371649}{3728}

Separate the equation into 2 possible cases

x = \frac{9553 + 91371649}{3728} x = \frac{9553 - 91371649}{3728}

Solution

x_{1} = \frac{9553 - 91371649}{3728}, x_{2} = \frac{9553 + 91371649}{3728}

Alternative Form

x_{1} \approx - 0.00157, x_{2} \approx 5.12657

Solve the quadratic equation