Solve 3x 10 = 7x^2

Evaluate

3 x \times 10 = 7 x^{2}

Multiply the terms

30 x = 7 x^{2}

Swap the sides

7 x^{2} = 30 x

Move the expression to the left side

7 x^{2} - 30 x = 0

Factor the expression

More Steps

x (7 x - 30) = 0

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

7 x - 30 = 0 x = 0

Solve the equation for x

More Steps

x = \frac{30}{7} x = 0

Solution

x_{1} = 0, x_{2} = \frac{30}{7}

Alternative Form

x_{1} = 0, x_{2} = 4. \dot{2} 8571 \dot{4}

Solve the quadratic equation