Solve 4x(x-3)=3-5x

Evaluate

4 x (x - 3) = 3 - 5 x

Expand the expression

More Steps

4 x^{2} - 12 x = 3 - 5 x

Move the expression to the left side

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

Substitute a= 4,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 4 ( - 3 )}{2 \times 4}

Simplify the expression

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 4 ( - 3 )}{8}

Simplify the expression

More Steps

x = \frac{7 \pm 97}{8}

Separate the equation into 2 possible cases

x = \frac{7 + 97}{8} x = \frac{7 - 97}{8}

Solution

x_{1} = \frac{7 - 97}{8}, x_{2} = \frac{7 + 97}{8}

Alternative Form

x_{1} \approx - 0.356107, x_{2} \approx 2.106107

Solve the quadratic equation