Solve 6x 8x 10x-12x-10x-2x - ScanMath

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Type your math problem... 6x 8x 10x-12x-10x-2x

Question

Simplify the expression

480 x^{3} - 24 x

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Factor the expression

24 x (20 x^{2} - 1)

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Find the roots

x_{1} = - \frac{5}{10}, x_{2} = 0, x_{3} = \frac{5}{10}

Alternative Form

x_{1} \approx - 0.223607, x_{2} = 0, x_{3} \approx 0.223607

Evaluate

6 x \times 8 x \times 10 x - 12 x - 10 x - 2 x

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

6 x \times 8 x \times 10 x - 12 x - 10 x - 2 x = 0

Multiply

More Steps

480 x^{3} - 12 x - 10 x - 2 x = 0

Subtract the terms

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480 x^{3} - 22 x - 2 x = 0

Subtract the terms

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480 x^{3} - 24 x = 0

Factor the expression

24 x (20 x^{2} - 1) = 0

Divide both sides

x (20 x^{2} - 1) = 0

Separate the equation into 2 possible cases

x = 0 20 x^{2} - 1 = 0

Solve the equation

More Steps

x = 0 x = \frac{5}{10} x = - \frac{5}{10}

Solution

x_{1} = - \frac{5}{10}, x_{2} = 0, x_{3} = \frac{5}{10}

Alternative Form

x_{1} \approx - 0.223607, x_{2} = 0, x_{3} \approx 0.223607

Show Solution