Solve x^4=x^2 4x 8

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Example problems

Type your math problem... x^4=x^2 4x 8

Question

Solve the equation

x_{1} = 0, x_{2} = 32

Evaluate

x^{4} = x^{2} \times 4 x \times 8

Multiply

More Steps

Evaluate

x^{2} \times 4 x \times 8

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 4 \times 8

Add the numbers

x^{3} \times 4 \times 8

Multiply the terms

x^{3} \times 32

Use the commutative property to reorder the terms

32 x^{3}

x^{4} = 32 x^{3}

Move the expression to the left side

x^{4} - 32 x^{3} = 0

Factor the expression

x^{3} (x - 32) = 0

Separate the equation into 2 possible cases

x^{3} = 0 x - 32 = 0

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

x = 0 x - 32 = 0

Solve the equation

More Steps

Evaluate

x - 32 = 0

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

x = 0 + 32

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

x = 32

x = 0 x = 32

Solution

x_{1} = 0, x_{2} = 32

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