Solve (3x-1)=6x^2-6x 10

Evaluate

3 x - 1 = 6 x^{2} - 6 x \times 10

Multiply the terms

3 x - 1 = 6 x^{2} - 60 x

Swap the sides

6 x^{2} - 60 x = 3 x - 1

Move the expression to the left side

6 x^{2} - 63 x + 1 = 0

Substitute a= 6,b= - 63 and c= 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{63 \pm ( - 63 ) ^{2} - 4 \times 6}{2 \times 6}

Simplify the expression

x = \frac{63 \pm ( - 63 ) ^{2} - 4 \times 6}{12}

Simplify the expression

More Steps

x = \frac{63 \pm 3945}{12}

Separate the equation into 2 possible cases

x = \frac{63 + 3945}{12} x = \frac{63 - 3945}{12}

Solution

x_{1} = \frac{63 - 3945}{12}, x_{2} = \frac{63 + 3945}{12}

Alternative Form

x_{1} \approx 0.015897, x_{2} \approx 10.484103

Solve the quadratic equation