Solve 3x= 4(-x^2)/5

Evaluate

3 x = 4 \times \frac{- x ^{2}}{5}

Simplify

More Steps

3 x = - \frac{4 x ^{2}}{5}

Swap the sides

- \frac{4 x ^{2}}{5} = 3 x

Multiply both sides of the equation by LCD

- \frac{4 x ^{2}}{5} \times 5 = 3 x \times 5

Simplify the equation

- 4 x^{2} = 3 x \times 5

Simplify the equation

- 4 x^{2} = 15 x

Move the expression to the left side

- 4 x^{2} - 15 x = 0

Factor the expression

More Steps

- x (4 x + 15) = 0

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

- x = 0 4 x + 15 = 0

Solve the equation for x

x = 0 4 x + 15 = 0

Solve the equation for x

More Steps

x = 0 x = - \frac{15}{4}

Solution

x_{1} = - \frac{15}{4}, x_{2} = 0

Alternative Form

x_{1} = - 3.75, x_{2} = 0

Solve the quadratic equation