Solve 3x^2-3x=24 - ScanMath

Evaluate

3 x^{2} - 3 x = 24

Move the expression to the left side

3 x^{2} - 3 x - 24 = 0

Substitute a= 3,b= - 3 and c= - 24 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 3 ( - 24 )}{2 \times 3}

Simplify the expression

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 3 ( - 24 )}{6}

Simplify the expression

More Steps

x = \frac{3 \pm 297}{6}

Simplify the radical expression

More Steps

x = \frac{3 \pm 3 33}{6}

Separate the equation into 2 possible cases

x = \frac{3 + 3 33}{6} x = \frac{3 - 3 33}{6}

Simplify the expression

More Steps

x = \frac{1 + 33}{2} x = \frac{3 - 3 33}{6}

Simplify the expression

More Steps

x = \frac{1 + 33}{2} x = \frac{1 - 33}{2}

Solution

x_{1} = \frac{1 - 33}{2}, x_{2} = \frac{1 + 33}{2}

Alternative Form

x_{1} \approx - 2.372281, x_{2} \approx 3.372281

Solve the quadratic equation