Solve -2(3x-3) 4x-4=0

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{3 - 3}{6}, x_{2} = \frac{3 + 3}{6}

Alternative Form

x_{1} \approx 0.211325, x_{2} \approx 0.788675

Evaluate

- 2 (3 x - 3) \times 4 x - 4 = 0

Multiply

More Steps

- 8 x (3 x - 3) - 4 = 0

Expand the expression

More Steps

- 24 x^{2} + 24 x - 4 = 0

Multiply both sides

24 x^{2} - 24 x + 4 = 0

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

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

Simplify the expression

x = \frac{24 \pm ( - 24 ) ^{2} - 4 \times 24 \times 4}{48}

Simplify the expression

More Steps

x = \frac{24 \pm 192}{48}

Simplify the radical expression

More Steps

x = \frac{24 \pm 8 3}{48}

Separate the equation into 2 possible cases

x = \frac{24 + 8 3}{48} x = \frac{24 - 8 3}{48}

Simplify the expression

More Steps

x = \frac{3 + 3}{6} x = \frac{24 - 8 3}{48}

Simplify the expression

More Steps

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

Solution

x_{1} = \frac{3 - 3}{6}, x_{2} = \frac{3 + 3}{6}

Alternative Form

x_{1} \approx 0.211325, x_{2} \approx 0.788675

Show Solution