What is the answer to 70-x+x((40)/x+1)^2=145 ?

The answer to 70-x+x((40)/x+1)^2=145 is x=-320

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70-x+x((40)/x+1)^2=145

70 - x + x (\frac{40}{x} + 1)^{2} = 145

x = - 320

Solution steps

70 - x + x (\frac{40}{x} + 1)^{2} = 145

Move

70

to the right side

- x + x (\frac{40}{x} + 1)^{2} = 75

Simplify

x (\frac{40}{x} + 1)^{2} : \frac{1600}{x} + 80 + x

- x + \frac{1600}{x} + 80 + x = 75

Multiply both sides by

x

80 x + 1600 = 75 x

Move

1600

to the right side

80 x = 75 x - 1600

Move

75 x

to the left side

5 x = - 1600

Divide both sides by

5

x = - 320

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 320

\frac{18}{27} = \frac{8}{x}

4 + \frac{5}{3 x} = - 1

\frac{30 + x}{24 + x} = \frac{7}{6}

\frac{5}{2 x - 3} = 2

\frac{4}{9} = \frac{5}{3 x}

What is the answer to 70-x+x((40)/x+1)^2=145 ?
The answer to 70-x+x((40)/x+1)^2=145 is x=-320
Solve for x: 70-x+x((40)/x+1)^2=145
The solution is x=-320