What is the answer to ((25)/x+12)9-38x=0 ?

The answer to ((25)/x+12)9-38x=0 is x=-(3(7sqrt(26)-18))/(38),x=(3(18+7sqrt(26)))/(38)

Solve for x: ((25)/x+12)9-38x=0

The solution is x=-(3(7sqrt(26)-18))/(38),x=(3(18+7sqrt(26)))/(38)

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(\frac{25}{x} + 12) 9 - 38 x = 0

x = - \frac{3 ( 7 26 - 18 )}{38}, x = \frac{3 ( 18 + 7 26 )}{38}

Decimal Notation

x = - 1.39682 \dots, x = 4.23893 \dots

Solution steps

(\frac{25}{x} + 12) \cdot 9 - 38 x = 0

Simplify

(\frac{25}{x} + 12) \cdot 9 : 9 (\frac{25}{x} + 12)

9 (\frac{25}{x} + 12) - 38 x = 0

Expand

9 (\frac{25}{x} + 12) - 38 x : \frac{225}{x} + 108 - 38 x

\frac{225}{x} + 108 - 38 x = 0

Multiply both sides by

x

225 + 108 x - 38 x^{2} = 0

Solve

225 + 108 x - 38 x^{2} = 0 : x = - \frac{3 ( 7 26 - 18 )}{38}, x = \frac{3 ( 18 + 7 26 )}{38}

x = - \frac{3 ( 7 26 - 18 )}{38}, x = \frac{3 ( 18 + 7 26 )}{38}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{3 ( 7 26 - 18 )}{38}, x = \frac{3 ( 18 + 7 26 )}{38}

\frac{1}{x} = \frac{x}{2.7}

\frac{x}{1 - x} = 10

- \frac{4}{x + 1} - \frac{3}{x} = - 2

\frac{1}{2 x} + \frac{5}{3} = 3

- \frac{8}{y} = 6

What is the answer to ((25)/x+12)9-38x=0 ?
The answer to ((25)/x+12)9-38x=0 is x=-(3(7sqrt(26)-18))/(38),x=(3(18+7sqrt(26)))/(38)
Solve for x: ((25)/x+12)9-38x=0
The solution is x=-(3(7sqrt(26)-18))/(38),x=(3(18+7sqrt(26)))/(38)