Solve 4x^2 - 7x = 3x^24

Evaluate

4 x^{2} - 7 x = 3 x^{2} \times 4

Multiply the terms

4 x^{2} - 7 x = 12 x^{2}

Move the expression to the left side

- 8 x^{2} - 7 x = 0

Factor the expression

More Steps

- x (8 x + 7) = 0

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

- x = 0 8 x + 7 = 0

Solve the equation for x

x = 0 8 x + 7 = 0

Solve the equation for x

More Steps

x = 0 x = - \frac{7}{8}

Solution

x_{1} = - \frac{7}{8}, x_{2} = 0

Alternative Form

x_{1} = - 0.875, x_{2} = 0

Solve the quadratic equation