Solve (4x^2 - 3x^2) (7x - 8x^2 - 3)

Evaluate

(4 x^{2} - 3 x^{2}) (7 x - 8 x^{2} - 3)

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

(4 x^{2} - 3 x^{2}) (7 x - 8 x^{2} - 3) = 0

Subtract the terms

More Steps

x^{2} (7 x - 8 x^{2} - 3) = 0

Separate the equation into 2 possible cases

x^{2} = 0 7 x - 8 x^{2} - 3 = 0

The only way a power can be 0 is when the base equals 0

x = 0 7 x - 8 x^{2} - 3 = 0

Solve the equation

More Steps

x = 0 x = \frac{7}{16} + \frac{47}{16} i x = \frac{7}{16} - \frac{47}{16} i

Solution

x_{1} = \frac{7}{16} - \frac{47}{16} i, x_{2} = \frac{7}{16} + \frac{47}{16} i, x_{3} = 0

Alternative Form

x_{1} \approx 0.4375 - 0.428478 i, x_{2} \approx 0.4375 + 0.428478 i, x_{3} = 0

Simplify the expression