Solve s^2(x)=3x^2-x^32

Evaluate

s^{2} x = 3 x^{2} - x^{3} \times 2

Use the commutative property to reorder the terms

s^{2} x = 3 x^{2} - 2 x^{3}

Move the expression to the left side

s^{2} x - (3 x^{2} - 2 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

s^{2} x - 3 x^{2} + 2 x^{3} = 0

Factor the expression

x (s^{2} - 3 x + 2 x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 s^{2} - 3 x + 2 x^{2} = 0

Solution

More Steps

x = 0 x = \frac{3 + 9 - 8 s ^{2}}{4} x = \frac{3 - 9 - 8 s ^{2}}{4}

Solve the equation