Solve 5x^6=10x^5 - ScanMath

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Type your math problem... 5x^6=10x^5

x

Question

Solve the equation

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

Evaluate

5 x^{6} = 10 x^{5}

Add or subtract both sides

5 x^{6} - 10 x^{5} = 0

Factor the expression

5 x^{5} (x - 2) = 0

Divide both sides

x^{5} (x - 2) = 0

Separate the equation into 2 possible cases

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

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

x = 0 x - 2 = 0

Solve the equation

More Steps

Evaluate

x - 2 = 0

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

x = 0 + 2

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

x = 2

x = 0 x = 2

Solution

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

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