Solve -3 = 3(x - 6) 6x

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{18 - 318}{6}, x_{2} = \frac{18 + 318}{6}

Alternative Form

x_{1} \approx 0.027908, x_{2} \approx 5.972092

Evaluate

- 3 = 3 (x - 6) \times 6 x

Multiply

More Steps

- 3 = 18 x (x - 6)

Swap the sides

18 x (x - 6) = - 3

Expand the expression

More Steps

18 x^{2} - 108 x = - 3

Move the expression to the left side

18 x^{2} - 108 x + 3 = 0

Substitute a= 18,b= - 108 and c= 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{108 \pm ( - 108 ) ^{2} - 4 \times 18 \times 3}{2 \times 18}

Simplify the expression

x = \frac{108 \pm ( - 108 ) ^{2} - 4 \times 18 \times 3}{36}

Simplify the expression

More Steps

x = \frac{108 \pm 11448}{36}

Simplify the radical expression

More Steps

x = \frac{108 \pm 6 318}{36}

Separate the equation into 2 possible cases

x = \frac{108 + 6 318}{36} x = \frac{108 - 6 318}{36}

Simplify the expression

More Steps

x = \frac{18 + 318}{6} x = \frac{108 - 6 318}{36}

Simplify the expression

More Steps

x = \frac{18 + 318}{6} x = \frac{18 - 318}{6}

Solution

x_{1} = \frac{18 - 318}{6}, x_{2} = \frac{18 + 318}{6}

Alternative Form

x_{1} \approx 0.027908, x_{2} \approx 5.972092

Show Solution