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4x 2x^2

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Type your math problem... 4x-2x^2

Question

Factor the expression

Factor

2 x (2 - x)

Evaluate

4 x - 2 x^{2}

Rewrite the expression

2 x \times 2 - 2 x \times x

Solution

2 x (2 - x)

Show Solution

Find the roots

Find the roots of the algebra expression

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

Evaluate

4 x - 2 x^{2}

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

4 x - 2 x^{2} = 0

Factor the expression

More Steps

Evaluate

4 x - 2 x^{2}

Rewrite the expression

2 x \times 2 - 2 x \times x

Factor out 2 x from the expression

2 x (2 - x)

2 x (2 - x) = 0

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

2 x = 0 2 - x = 0

Solve the equation for x

x = 0 2 - x = 0

Solve the equation for x

More Steps

Evaluate

2 - x = 0

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

- x = 0 - 2

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

- x = - 2

Change the signs on both sides of the equation

x = 2

x = 0 x = 2

Solution

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

Show Solution

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