Solve 2 x x ( x 1 ) = x x 9

Evaluate

2 x \times x (x \times 1) = x \times x \times 9

Remove the parentheses

2 x \times x \times x \times 1 = x \times x \times 9

Simplify

More Steps

2 x^{3} = x \times x \times 9

Multiply

More Steps

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

Add or subtract both sides

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

Factor the expression

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

Separate the equation into 2 possible cases

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

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

x = 0 2 x - 9 = 0

Solve the equation

More Steps

x = 0 x = \frac{9}{2}

Solution

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

Alternative Form

x_{1} = 0, x_{2} = 4.5

Solve the equation