Solve 3x|x^2 - 9x|

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Example problems

Type your math problem... 3x|x^2 - 9x|

Question

Find the roots

x_{1} = 0, x_{2} = 9

Evaluate

3 x x^{2} - 9 x

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

3 x x^{2} - 9 x = 0

Elimination the left coefficient

x x^{2} - 9 x = 0

Separate the equation into 2 possible cases

x = 0 x^{2} - 9 x = 0

Solve the equation

More Steps

Evaluate

x^{2} - 9 x = 0

Rewrite the expression

x^{2} - 9 x = 0

Factor the expression

More Steps

Evaluate

x^{2} - 9 x

Rewrite the expression

x \times x - x \times 9

Factor out x from the expression

x (x - 9)

x (x - 9) = 0

When the product of factors equals 0,at least one factor is 0

x = 0 x - 9 = 0

Solve the equation for x

More Steps

Evaluate

x - 9 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 9

Removing 0 doesn't change the value,so remove it from the expression

x = 9

x = 0 x = 9

x = 0 x = 0 x = 9

Find the union

x = 0 x = 9

Solution

x_{1} = 0, x_{2} = 9

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