Solve x-x1 x-x^2 - ScanMath

Question

Simplify the expression

x - 2 x^{2}

Evaluate

x - x \times 1 \times x - x^{2}

Multiply the terms

More Steps

Multiply the terms

- x \times 1 \times x

Rewrite the expression

- x \times x

Multiply the terms

- x^{2}

x - x^{2} - x^{2}

Solution

More Steps

Evaluate

- x^{2} - x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 1 - 1) x^{2}

Subtract the numbers

- 2 x^{2}

x - 2 x^{2}

Show Solution

Factor the expression

x (1 - 2 x)

Evaluate

x - x \times 1 \times x - x^{2}

Multiply the terms

More Steps

Multiply the terms

x \times 1 \times x

Rewrite the expression

x \times x

Multiply the terms

x^{2}

x - x^{2} - x^{2}

Subtract the terms

More Steps

Evaluate

- x^{2} - x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 1 - 1) x^{2}

Subtract the numbers

- 2 x^{2}

x - 2 x^{2}

Rewrite the expression

x - x \times 2 x

Solution

x (1 - 2 x)

Show Solution

Find the roots

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

Alternative Form

x_{1} = 0, x_{2} = 0.5

Evaluate

x - x \times 1 \times x - x^{2}

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

x - x \times 1 \times x - x^{2} = 0

Multiply the terms

More Steps

Multiply the terms

x \times 1 \times x

Rewrite the expression

x \times x

Multiply the terms

x^{2}

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

Subtract the terms

More Steps

Simplify

x - x^{2} - x^{2}

Subtract the terms

More Steps

Evaluate

- x^{2} - x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 1 - 1) x^{2}

Subtract the numbers

- 2 x^{2}

x - 2 x^{2}

x - 2 x^{2} = 0

Factor the expression

More Steps

Evaluate

x - 2 x^{2}

Rewrite the expression

x - x \times 2 x

Factor out x from the expression

x (1 - 2 x)

x (1 - 2 x) = 0

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

x = 0 1 - 2 x = 0

Solve the equation for x

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Evaluate

1 - 2 x = 0

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

- 2 x = 0 - 1

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

- 2 x = - 1

Change the signs on both sides of the equation

2 x = 1

Divide both sides

\frac{2 x}{2} = \frac{1}{2}

Divide the numbers

x = \frac{1}{2}

x = 0 x = \frac{1}{2}

Solution

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

Alternative Form

x_{1} = 0, x_{2} = 0.5

Show Solution