Solve 15n-18n^4n=3

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Type your math problem... 15n-18n^4n=3

Question

Solve the equation

n_{1} = - 1, n_{2} \approx 0.200388, n_{3} \approx 0.89705

Evaluate

15 n - 18 n^{4} \times n = 3

Multiply

More Steps

Evaluate

18 n^{4} \times n

Multiply the terms with the same base by adding their exponents

18 n^{4 + 1}

Add the numbers

18 n^{5}

15 n - 18 n^{5} = 3

Move the expression to the left side

15 n - 18 n^{5} - 3 = 0

Factor the expression

- 3 (n + 1) (6 n^{4} - 6 n^{3} + 6 n^{2} - 6 n + 1) = 0

Divide both sides

(n + 1) (6 n^{4} - 6 n^{3} + 6 n^{2} - 6 n + 1) = 0

Separate the equation into 2 possible cases

n + 1 = 0 6 n^{4} - 6 n^{3} + 6 n^{2} - 6 n + 1 = 0

Solve the equation

More Steps

Evaluate

n + 1 = 0

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

n = 0 - 1

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

n = - 1

n = - 1 6 n^{4} - 6 n^{3} + 6 n^{2} - 6 n + 1 = 0

Solve the equation

n = - 1 n \approx 0.89705 n \approx 0.200388

Solution

n_{1} = - 1, n_{2} \approx 0.200388, n_{3} \approx 0.89705

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