Solve x (-5x^4)(x - 3) = 0

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Type your math problem... x (-5x^4)(x - 3) = 0

Question

Solve the equation

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

Evaluate

x (- 5 x^{4}) (x - 3) = 0

Multiply

More Steps

Evaluate

x (- 5 x^{4}) (x - 3)

Rewrite the expression

- x \times 5 x^{4} (x - 3)

Multiply the terms with the same base by adding their exponents

- x^{1 + 4} \times 5 (x - 3)

Add the numbers

- x^{5} \times 5 (x - 3)

Use the commutative property to reorder the terms

- 5 x^{5} (x - 3)

- 5 x^{5} (x - 3) = 0

Change the sign

5 x^{5} (x - 3) = 0

Elimination the left coefficient

x^{5} (x - 3) = 0

Separate the equation into 2 possible cases

x^{5} = 0 x - 3 = 0

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

x = 0 x - 3 = 0

Solve the equation

More Steps

Evaluate

x - 3 = 0

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

x = 0 + 3

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

x = 3

x = 0 x = 3

Solution

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

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