Solve 17-3x=(x-3)(x-1)

Evaluate

17 - 3 x = (x - 3) (x - 1)

Swap the sides

(x - 3) (x - 1) = 17 - 3 x

Expand the expression

More Steps

x^{2} - 4 x + 3 = 17 - 3 x

Move the expression to the left side

x^{2} - x - 14 = 0

Substitute a= 1,b= - 1 and c= - 14 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{1 \pm ( - 1 ) ^{2} - 4 ( - 14 )}{2}

Simplify the expression

More Steps

x = \frac{1 \pm 57}{2}

Separate the equation into 2 possible cases

x = \frac{1 + 57}{2} x = \frac{1 - 57}{2}

Solution

x_{1} = \frac{1 - 57}{2}, x_{2} = \frac{1 + 57}{2}

Alternative Form

x_{1} \approx - 3.274917, x_{2} \approx 4.274917

Solve the quadratic equation