Solve 4x 7= 2x^5 - ScanMath

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Type your math problem... 4x 7= 2x^5

Question

Solve the equation

x_{1} = - 414, x_{2} = 0, x_{3} = 414

Alternative Form

x_{1} \approx - 1.934336, x_{2} = 0, x_{3} \approx 1.934336

Evaluate

4 x \times 7 = 2 x^{5}

Multiply the terms

28 x = 2 x^{5}

Add or subtract both sides

28 x - 2 x^{5} = 0

Factor the expression

2 x (14 - x^{4}) = 0

Divide both sides

x (14 - x^{4}) = 0

Separate the equation into 2 possible cases

x = 0 14 - x^{4} = 0

Solve the equation

More Steps

Evaluate

14 - x^{4} = 0

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

- x^{4} = 0 - 14

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

- x^{4} = - 14

Change the signs on both sides of the equation

x^{4} = 14

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

x = \pm 414

Separate the equation into 2 possible cases

x = 414 x = - 414

x = 0 x = 414 x = - 414

Solution

x_{1} = - 414, x_{2} = 0, x_{3} = 414

Alternative Form

x_{1} \approx - 1.934336, x_{2} = 0, x_{3} \approx 1.934336

Show Solution

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