Solve 3x 19 = 2x^21

Evaluate

3 x \times 19 = 2 x^{2} \times 1

Multiply the terms

57 x = 2 x^{2} \times 1

Multiply the terms

57 x = 2 x^{2}

Swap the sides

2 x^{2} = 57 x

Move the expression to the left side

2 x^{2} - 57 x = 0

Factor the expression

More Steps

x (2 x - 57) = 0

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

2 x - 57 = 0 x = 0

Solve the equation for x

More Steps

x = \frac{57}{2} x = 0

Solution

x_{1} = 0, x_{2} = \frac{57}{2}

Alternative Form

x_{1} = 0, x_{2} = 28.5

Solve the quadratic equation