Solve 1 x-3x =- x^2 -3x1

Evaluate

1 \times x - 3 x = - x^{2} - 3 x \times 1

Simplify

More Steps

- 2 x = - x^{2} - 3 x \times 1

Multiply the terms

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

Swap the sides

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

Move the expression to the left side

- x^{2} - x = 0

Factor the expression

More Steps

- x (x + 1) = 0

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

- x = 0 x + 1 = 0

Solve the equation for x

x = 0 x + 1 = 0

Solve the equation for x

More Steps

x = 0 x = - 1

Solution

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

1 x 3x = x^2 3x1