Solve 12x^2-x-6=(6x)(-6x)

Evaluate

12 x^{2} - x - 6 = 6 x (- 6 x)

Multiply the terms

More Steps

12 x^{2} - x - 6 = - 36 x^{2}

Move the expression to the left side

48 x^{2} - x - 6 = 0

Substitute a= 48,b= - 1 and c= - 6 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{1 \pm ( - 1 ) ^{2} - 4 \times 48 ( - 6 )}{2 \times 48}

Simplify the expression

x = \frac{1 \pm ( - 1 ) ^{2} - 4 \times 48 ( - 6 )}{96}

Simplify the expression

More Steps

x = \frac{1 \pm 1153}{96}

Separate the equation into 2 possible cases

x = \frac{1 + 1153}{96} x = \frac{1 - 1153}{96}

Solution

x_{1} = \frac{1 - 1153}{96}, x_{2} = \frac{1 + 1153}{96}

Alternative Form

x_{1} \approx - 0.34329, x_{2} \approx 0.364123

Solve the quadratic equation