Solve |x^2 4x^3| (2x^5)=0

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Type your math problem... |x^2 4x^3| (2x^5)=0

Question

Solve the equation

x = 0

Evaluate

x^{2} \times 4 x^{3} \times 2 x^{5} = 0

Simplify

More Steps

Evaluate

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

Multiply

More Steps

Multiply the terms

x^{2} \times 4 x^{3}

Multiply the terms with the same base by adding their exponents

x^{2 + 3} \times 4

Add the numbers

x^{5} \times 4

Use the commutative property to reorder the terms

4 x^{5}

4 x^{5} \times 2 x^{5}

Any expression multiplied by 1 remains the same

2 x^{5} 4 x^{5}

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

Elimination the left coefficient

x^{5} 4 x^{5} = 0

Separate the equation into 2 possible cases

x^{5} = 0 4 x^{5} = 0

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

x = 0 4 x^{5} = 0

Solve the equation

More Steps

Evaluate

4 x^{5} = 0

Rewrite the expression

4 x^{5} = 0

Rewrite the expression

x^{5} = 0

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

x = 0

x = 0 x = 0

Solution

x = 0

Show Solution

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