Solve (9x^3- 4x^22x^3) (-5x^37x^2- 6x^5) - ScanMath

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Type your math problem... (9x^3- 4x^22x^3) (-5x^37x^2- 6x^5)

Question

Simplify the expression

- 369 x^{8} + 328 x^{10}

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Factor the expression

- 41 x^{8} (9 - 8 x^{2})

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Find the roots

x_{1} = - \frac{3 2}{4}, x_{2} = 0, x_{3} = \frac{3 2}{4}

Alternative Form

x_{1} \approx - 1.06066, x_{2} = 0, x_{3} \approx 1.06066

Evaluate

(9 x^{3} - 4 x^{2} \times 2 x^{3}) (- 5 x^{3} \times 7 x^{2} - 6 x^{5})

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

(9 x^{3} - 4 x^{2} \times 2 x^{3}) (- 5 x^{3} \times 7 x^{2} - 6 x^{5}) = 0

Multiply

More Steps

(9 x^{3} - 8 x^{5}) (- 5 x^{3} \times 7 x^{2} - 6 x^{5}) = 0

Multiply

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(9 x^{3} - 8 x^{5}) (- 35 x^{5} - 6 x^{5}) = 0

Subtract the terms

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(9 x^{3} - 8 x^{5}) (- 41 x^{5}) = 0

Multiply the terms

- 41 x^{5} (9 x^{3} - 8 x^{5}) = 0

Change the sign

41 x^{5} (9 x^{3} - 8 x^{5}) = 0

Elimination the left coefficient

x^{5} (9 x^{3} - 8 x^{5}) = 0

Separate the equation into 2 possible cases

x^{5} = 0 9 x^{3} - 8 x^{5} = 0

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

x = 0 9 x^{3} - 8 x^{5} = 0

Solve the equation

More Steps

x = 0 x = 0 x = \frac{3 2}{4} x = - \frac{3 2}{4}

Find the union

x = 0 x = \frac{3 2}{4} x = - \frac{3 2}{4}

Solution

x_{1} = - \frac{3 2}{4}, x_{2} = 0, x_{3} = \frac{3 2}{4}

Alternative Form

x_{1} \approx - 1.06066, x_{2} = 0, x_{3} \approx 1.06066

Show Solution