Solve 5x^2-8x 12=3x 10

Evaluate

5 x^{2} - 8 x \times 12 = 3 x \times 10

Multiply the terms

5 x^{2} - 96 x = 3 x \times 10

Multiply the terms

5 x^{2} - 96 x = 30 x

Move the expression to the left side

5 x^{2} - 126 x = 0

Factor the expression

More Steps

x (5 x - 126) = 0

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

5 x - 126 = 0 x = 0

Solve the equation for x

More Steps

x = \frac{126}{5} x = 0

Solution

x_{1} = 0, x_{2} = \frac{126}{5}

Alternative Form

x_{1} = 0, x_{2} = 25.2

Solve the quadratic equation