Solve 2x^6=2x^2x - ScanMath

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Type your math problem... 2x^6=2x^2x

Question

Solve the equation

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

Evaluate

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

Multiply

More Steps

Evaluate

2 x^{2} \times x

Multiply the terms with the same base by adding their exponents

2 x^{2 + 1}

Add the numbers

2 x^{3}

2 x^{6} = 2 x^{3}

Add or subtract both sides

2 x^{6} - 2 x^{3} = 0

Factor the expression

2 x^{3} (x^{3} - 1) = 0

Divide both sides

x^{3} (x^{3} - 1) = 0

Separate the equation into 2 possible cases

x^{3} = 0 x^{3} - 1 = 0

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

x = 0 x^{3} - 1 = 0

Solve the equation

More Steps

Evaluate

x^{3} - 1 = 0

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

x^{3} = 0 + 1

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

x^{3} = 1

Take the 3 -th root on both sides of the equation

3 x^{3} = 31

Calculate

x = 31

Simplify the root

x = 1

x = 0 x = 1

Solution

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

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