Solve 2(x-4) 3x = 17

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{12 - 246}{6}, x_{2} = \frac{12 + 246}{6}

Alternative Form

x_{1} \approx - 0.614065, x_{2} \approx 4.614065

Evaluate

2 (x - 4) \times 3 x = 17

Multiply

More Steps

6 x (x - 4) = 17

Expand the expression

More Steps

6 x^{2} - 24 x = 17

Move the expression to the left side

6 x^{2} - 24 x - 17 = 0

Substitute a= 6,b= - 24 and c= - 17 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{24 \pm ( - 24 ) ^{2} - 4 \times 6 ( - 17 )}{2 \times 6}

Simplify the expression

x = \frac{24 \pm ( - 24 ) ^{2} - 4 \times 6 ( - 17 )}{12}

Simplify the expression

More Steps

x = \frac{24 \pm 984}{12}

Simplify the radical expression

More Steps

x = \frac{24 \pm 2 246}{12}

Separate the equation into 2 possible cases

x = \frac{24 + 2 246}{12} x = \frac{24 - 2 246}{12}

Simplify the expression

More Steps

x = \frac{12 + 246}{6} x = \frac{24 - 2 246}{12}

Simplify the expression

More Steps

x = \frac{12 + 246}{6} x = \frac{12 - 246}{6}

Solution

x_{1} = \frac{12 - 246}{6}, x_{2} = \frac{12 + 246}{6}

Alternative Form

x_{1} \approx - 0.614065, x_{2} \approx 4.614065

Show Solution