Solve 25x^32 126+99 810/18 9x125x16 25x(12x^4)

Question

Simplify the expression

53150 x^{3} + 3159000000 x^{7}

Show Solution

50 x^{3} (1063 + 63180000 x^{4})

Show Solution

x_{1} = - \frac{4 126112194}{2340} - \frac{4 126112194}{2340} i, x_{2} = \frac{4 126112194}{2340} + \frac{4 126112194}{2340} i, x_{3} = 0

Alternative Form

x_{1} \approx - 0.045287 - 0.045287 i, x_{2} \approx 0.045287 + 0.045287 i, x_{3} = 0

Evaluate

25 x^{3} \times 2126 + 99 \frac{810}{18} \times 9 x \times 125 x \times 1625 x (12 x^{4})

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

25 x^{3} \times 2126 + 99 \frac{810}{18} \times 9 x \times 125 x \times 1625 x (12 x^{4}) = 0

Multiply the terms

25 x^{3} \times 2126 + 99 \frac{810}{18} \times 9 x \times 125 x \times 1625 x \times 12 x^{4} = 0

Covert the mixed number to an improper fraction

More Steps

25 x^{3} \times 2126 + \frac{2592}{18} \times 9 x \times 125 x \times 1625 x \times 12 x^{4} = 0

Multiply the terms

53150 x^{3} + \frac{2592}{18} \times 9 x \times 125 x \times 1625 x \times 12 x^{4} = 0

Multiply

More Steps

53150 x^{3} + 3159000000 x^{7} = 0

Factor the expression

50 x^{3} (1063 + 63180000 x^{4}) = 0

Divide both sides

x^{3} (1063 + 63180000 x^{4}) = 0

Separate the equation into 2 possible cases

x^{3} = 0 1063 + 63180000 x^{4} = 0

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

x = 0 1063 + 63180000 x^{4} = 0

Solve the equation

More Steps

x = 0 x = \frac{4 126112194}{2340} + \frac{4 126112194}{2340} i x = - \frac{4 126112194}{2340} - \frac{4 126112194}{2340} i

Solution

x_{1} = - \frac{4 126112194}{2340} - \frac{4 126112194}{2340} i, x_{2} = \frac{4 126112194}{2340} + \frac{4 126112194}{2340} i, x_{3} = 0

Alternative Form

x_{1} \approx - 0.045287 - 0.045287 i, x_{2} \approx 0.045287 + 0.045287 i, x_{3} = 0

Show Solution