Solve 7m^2-2m-3=3

Evaluate

7 m^{2} - 2 m - 3 = 3

Move the expression to the left side

7 m^{2} - 2 m - 6 = 0

Substitute a= 7,b= - 2 and c= - 6 into the quadratic formula m = \frac{- b \pm b ^{2} - 4 a c}{2 a}

m = \frac{2 \pm ( - 2 ) ^{2} - 4 \times 7 ( - 6 )}{2 \times 7}

Simplify the expression

m = \frac{2 \pm ( - 2 ) ^{2} - 4 \times 7 ( - 6 )}{14}

Simplify the expression

More Steps

m = \frac{2 \pm 172}{14}

Simplify the radical expression

More Steps

m = \frac{2 \pm 2 43}{14}

Separate the equation into 2 possible cases

m = \frac{2 + 2 43}{14} m = \frac{2 - 2 43}{14}

Simplify the expression

More Steps

m = \frac{1 + 43}{7} m = \frac{2 - 2 43}{14}

Simplify the expression

More Steps

m = \frac{1 + 43}{7} m = \frac{1 - 43}{7}

Solution

m_{1} = \frac{1 - 43}{7}, m_{2} = \frac{1 + 43}{7}

Alternative Form

m_{1} \approx - 0.79392, m_{2} \approx 1.079634

Solve the quadratic equation