Solve 5x^27=6x 10

Evaluate

5 x^{2} \times 7 = 6 x \times 10

Multiply the terms

35 x^{2} = 6 x \times 10

Multiply the terms

35 x^{2} = 60 x

Move the expression to the left side

35 x^{2} - 60 x = 0

Factor the expression

More Steps

5 x (7 x - 12) = 0

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

7 x - 12 = 0 5 x = 0

Solve the equation for x

More Steps

x = \frac{12}{7} 5 x = 0

Solve the equation for x

x = \frac{12}{7} x = 0

Solution

x_{1} = 0, x_{2} = \frac{12}{7}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{7} 1428 \dot{5}

Solve the quadratic equation