Solve 16x=600x^2-16x^3 - Socratic AI (ScanMath)

Evaluate

16 x = 600 x^{2} - 16 x^{3}

Move the expression to the left side

16 x - (600 x^{2} - 16 x^{3}) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

16 x - 600 x^{2} + 16 x^{3} = 0

Factor the expression

8 x (2 - 75 x + 2 x^{2}) = 0

Divide both sides

x (2 - 75 x + 2 x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 2 - 75 x + 2 x^{2} = 0

Solve the equation

More Steps

x = 0 x = \frac{75 + 5609}{4} x = \frac{75 - 5609}{4}

Solution

x_{1} = 0, x_{2} = \frac{75 - 5609}{4}, x_{3} = \frac{75 + 5609}{4}

Alternative Form

x_{1} = 0, x_{2} \approx 0.026686, x_{3} \approx 37.473314

16x=600x^2 16x^3

Solve the equation

Graph