Solve 6(x 9)=x(5x)

Evaluate

6 (x \times 9) = x \times 5 x

Remove the parentheses

6 x \times 9 = x \times 5 x

Multiply the terms

54 x = x \times 5 x

Multiply the terms

More Steps

54 x = 5 x^{2}

Swap the sides

5 x^{2} = 54 x

Move the expression to the left side

5 x^{2} - 54 x = 0

Factor the expression

More Steps

x (5 x - 54) = 0

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

5 x - 54 = 0 x = 0

Solve the equation for x

More Steps

x = \frac{54}{5} x = 0

Solution

x_{1} = 0, x_{2} = \frac{54}{5}

Alternative Form

x_{1} = 0, x_{2} = 10.8

Solve the quadratic equation