Solve 3x^(2)-5(2x^(2)-4) 7x

Evaluate

3 x^{2} - 5 (2 x^{2} - 4) \times 7 x

To find the roots of the expression,set the expression equal to 0

3 x^{2} - 5 (2 x^{2} - 4) \times 7 x = 0

Multiply

More Steps

3 x^{2} - 35 x (2 x^{2} - 4) = 0

Calculate

More Steps

3 x^{2} - 70 x^{3} + 140 x = 0

Factor the expression

x (3 x - 70 x^{2} + 140) = 0

Separate the equation into 2 possible cases

x = 0 3 x - 70 x^{2} + 140 = 0

Solve the equation

More Steps

x = 0 x = \frac{3 + 39209}{140} x = \frac{3 - 39209}{140}

Solution

x_{1} = \frac{3 - 39209}{140}, x_{2} = 0, x_{3} = \frac{3 + 39209}{140}

Alternative Form

x_{1} \approx - 1.392947, x_{2} = 0, x_{3} \approx 1.435804

Simplify the expression