Solve 2x^5 = x 10

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Example problems

Type your math problem... 2x^5 = x 10

Question

Solve the equation

x_{1} = - 45, x_{2} = 0, x_{3} = 45

Alternative Form

x_{1} \approx - 1.495349, x_{2} = 0, x_{3} \approx 1.495349

Evaluate

2 x^{5} = x \times 10

Use the commutative property to reorder the terms

2 x^{5} = 10 x

Add or subtract both sides

2 x^{5} - 10 x = 0

Factor the expression

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

Divide both sides

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

Separate the equation into 2 possible cases

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

Solve the equation

More Steps

Evaluate

x^{4} - 5 = 0

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

x^{4} = 0 + 5

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

x^{4} = 5

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 45

Separate the equation into 2 possible cases

x = 45 x = - 45

x = 0 x = 45 x = - 45

Solution

x_{1} = - 45, x_{2} = 0, x_{3} = 45

Alternative Form

x_{1} \approx - 1.495349, x_{2} = 0, x_{3} \approx 1.495349

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