Solve 3x^2 = 7x - 3

Evaluate

3 x^{2} = 7 x - 3

Move the expression to the left side

3 x^{2} - 7 x + 3 = 0

Substitute a= 3,b= - 7 and c= 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 3 \times 3}{2 \times 3}

Simplify the expression

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 3 \times 3}{6}

Simplify the expression

More Steps

x = \frac{7 \pm 13}{6}

Separate the equation into 2 possible cases

x = \frac{7 + 13}{6} x = \frac{7 - 13}{6}

Solution

x_{1} = \frac{7 - 13}{6}, x_{2} = \frac{7 + 13}{6}

Alternative Form

x_{1} \approx 0.565741, x_{2} \approx 1.767592

Solve the quadratic equation