Solve x^3 6x^2 12x 8 8x^3-6x(x^2) 1 - ScanMath

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Type your math problem... x^3 6x^2 12x 8 8x^3-6x(x^2) 1

Question

Simplify the expression

6336 x^{9} - 6 x^{3}

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Factor the expression

6 x^{3} (1056 x^{6} - 1)

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Find the roots

x_{1} = - \frac{6 105 6 ^{5}}{1056}, x_{2} = 0, x_{3} = \frac{6 105 6 ^{5}}{1056}

Alternative Form

x_{1} \approx - 0.313369, x_{2} = 0, x_{3} \approx 0.313369

Evaluate

x^{3} \times 6 x^{2} \times 12 x \times 88 x^{3} - 6 x (x^{2}) \times 1

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

x^{3} \times 6 x^{2} \times 12 x \times 88 x^{3} - 6 x (x^{2}) \times 1 = 0

Calculate

x^{3} \times 6 x^{2} \times 12 x \times 88 x^{3} - 6 x \times x^{2} \times 1 = 0

Multiply

More Steps

6336 x^{9} - 6 x \times x^{2} \times 1 = 0

Multiply the terms

More Steps

6336 x^{9} - 6 x^{3} = 0

Factor the expression

6 x^{3} (1056 x^{6} - 1) = 0

Divide both sides

x^{3} (1056 x^{6} - 1) = 0

Separate the equation into 2 possible cases

x^{3} = 0 1056 x^{6} - 1 = 0

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

x = 0 1056 x^{6} - 1 = 0

Solve the equation

More Steps

x = 0 x = \frac{6 105 6 ^{5}}{1056} x = - \frac{6 105 6 ^{5}}{1056}

Solution

x_{1} = - \frac{6 105 6 ^{5}}{1056}, x_{2} = 0, x_{3} = \frac{6 105 6 ^{5}}{1056}

Alternative Form

x_{1} \approx - 0.313369, x_{2} = 0, x_{3} \approx 0.313369

Show Solution