Solve 6665b^6b^6666b b^693b93233 + 303330000000

Question

Simplify the expression

38488145917410 b^{20} + 303330000000

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30 (1282938197247 b^{20} + 10111000000)

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b_{1} \approx - 0.775264 - 0.12279 i, b_{2} \approx 0.775264 + 0.12279 i

Evaluate

6665 b^{6} \times b^{6} \times 666 b \times b^{6} \times 93 b \times 93233 + 303330000000

To find the roots of the expression,set the expression equal to 0

6665 b^{6} \times b^{6} \times 666 b \times b^{6} \times 93 b \times 93233 + 303330000000 = 0

Multiply

More Steps

38488145917410 b^{20} + 303330000000 = 0

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

38488145917410 b^{20} = 0 - 303330000000

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

38488145917410 b^{20} = - 303330000000

Divide both sides

\frac{38488145917410 b ^{20}}{38488145917410} = \frac{- 303330000000}{38488145917410}

Divide the numbers

b^{20} = \frac{- 303330000000}{38488145917410}

Divide the numbers

More Steps

b^{20} = - \frac{10111000000}{1282938197247}

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

b = \pm 20 - \frac{10111000000}{1282938197247}

Simplify the expression

More Steps

b = \pm (0.775264 + 0.12279 i)

Separate the equation into 2 possible cases

b \approx 0.775264 + 0.12279 i b \approx - 0.775264 - 0.12279 i

Solution

b_{1} \approx - 0.775264 - 0.12279 i, b_{2} \approx 0.775264 + 0.12279 i

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