Solve 6x^5 = 3x 14

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Example problems

Type your math problem... 6x^5 = 3x 14

Question

Solve the equation

x_{1} = - 47, x_{2} = 0, x_{3} = 47

Alternative Form

x_{1} \approx - 1.626577, x_{2} = 0, x_{3} \approx 1.626577

Evaluate

6 x^{5} = 3 x \times 14

Multiply the terms

6 x^{5} = 42 x

Add or subtract both sides

6 x^{5} - 42 x = 0

Factor the expression

6 x (x^{4} - 7) = 0

Divide both sides

x (x^{4} - 7) = 0

Separate the equation into 2 possible cases

x = 0 x^{4} - 7 = 0

Solve the equation

More Steps

Evaluate

x^{4} - 7 = 0

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

x^{4} = 0 + 7

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

x^{4} = 7

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

x = \pm 47

Separate the equation into 2 possible cases

x = 47 x = - 47

x = 0 x = 47 x = - 47

Solution

x_{1} = - 47, x_{2} = 0, x_{3} = 47

Alternative Form

x_{1} \approx - 1.626577, x_{2} = 0, x_{3} \approx 1.626577

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