Solve -x^2(x^3)= 6 x

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Example problems

Type your math problem... -x^2(x^3)= 6 x

Question

Solve the equation

x = 0

Evaluate

- x^{2} \times x^{3} = 6 x

Multiply the terms

More Steps

Evaluate

x^{2} \times x^{3}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

x^{2 + 3}

Add the numbers

x^{5}

- x^{5} = 6 x

Add or subtract both sides

- x^{5} - 6 x = 0

Factor the expression

- x (x^{4} + 6) = 0

Divide both sides

x (x^{4} + 6) = 0

Separate the equation into 2 possible cases

x = 0 x^{4} + 6 = 0

Solve the equation

More Steps

Evaluate

x^{4} + 6 = 0

Move the constant to the right-hand side and change its sign

x^{4} = 0 - 6

Removing 0 doesn't change the value,so remove it from the expression

x^{4} = - 6

Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x

x \in / R

x = 0 x \in / R

Solution

x = 0

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