Solve x^(3) 5x=3x^(2) 15

Evaluate

x^{3} \times 5 x = 3 x^{2} \times 15

Multiply

More Steps

5 x^{4} = 3 x^{2} \times 15

Multiply the terms

5 x^{4} = 45 x^{2}

Add or subtract both sides

5 x^{4} - 45 x^{2} = 0

Factor the expression

5 x^{2} (x^{2} - 9) = 0

Divide both sides

x^{2} (x^{2} - 9) = 0

Separate the equation into 2 possible cases

x^{2} = 0 x^{2} - 9 = 0

The only way a power can be 0 is when the base equals 0

x = 0 x^{2} - 9 = 0

Solve the equation

More Steps

x = 0 x = 3 x = - 3

Solution

x_{1} = - 3, x_{2} = 0, x_{3} = 3

Solve the equation