What is the answer to 10x-4(-x+2)+3= 8/(2x) ?

The answer to 10x-4(-x+2)+3= 8/(2x) is x=(5+sqrt(249))/(28),x=(5-sqrt(249))/(28)

Solve for x: 10x-4(-x+2)+3= 8/(2x)

The solution is x=(5+sqrt(249))/(28),x=(5-sqrt(249))/(28)

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10 x - 4 (- x + 2) + 3 = \frac{8}{2 x}

x = \frac{5 + 249}{28}, x = \frac{5 - 249}{28}

Decimal Notation

x = 0.74213 \dots, x = - 0.38499 \dots

Solution steps

10 x - 4 (- x + 2) + 3 = \frac{8}{2 x}

Simplify

\frac{8}{2 x} : \frac{4}{x}

10 x - 4 (- x + 2) + 3 = \frac{4}{x}

Multiply both sides by

x

10 x^{2} - 4 (- x + 2) x + 3 x = 4

Solve

10 x^{2} - 4 (- x + 2) x + 3 x = 4 : x = \frac{5 + 249}{28}, x = \frac{5 - 249}{28}

x = \frac{5 + 249}{28}, x = \frac{5 - 249}{28}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5 + 249}{28}, x = \frac{5 - 249}{28}

(\frac{3}{a}) - (\frac{5}{a}) = 2

2 = \frac{3 x + 8}{x - 2}

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

x^{- 2} = a

\frac{- 6}{x - b} = 0

What is the answer to 10x-4(-x+2)+3= 8/(2x) ?
The answer to 10x-4(-x+2)+3= 8/(2x) is x=(5+sqrt(249))/(28),x=(5-sqrt(249))/(28)
Solve for x: 10x-4(-x+2)+3= 8/(2x)
The solution is x=(5+sqrt(249))/(28),x=(5-sqrt(249))/(28)