What is the answer to (600)/(x+10)-5=x+7 ?

The answer to (600)/(x+10)-5=x+7 is x=-11+sqrt(601),x=-11-sqrt(601)

Solve for x: (600)/(x+10)-5=x+7

The solution is x=-11+sqrt(601),x=-11-sqrt(601)

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\frac{600}{x + 10} - 5 = x + 7

x = - 11 + 601, x = - 11 - 601

Solution steps

\frac{600}{x + 10} - 5 = x + 7

Move

5

to the right side

\frac{600}{x + 10} = x + 12

Multiply both sides by

x + 10

600 = x (x + 10) + 12 (x + 10)

Solve

600 = x (x + 10) + 12 (x + 10) : x = - 11 + 601, x = - 11 - 601

x = - 11 + 601, x = - 11 - 601

Verify Solutions

Find undefined (singularity) points:

x = - 10

Combine undefined points with solutions:

x = - 11 + 601, x = - 11 - 601

x, \frac{y}{x} = 1

x + 5 = \frac{14 - 1}{2 x}

\frac{6}{2 n - 5} = \frac{2}{n - 7}

\frac{5}{y + 3} - 2 = \frac{7}{y + 3}

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

What is the answer to (600)/(x+10)-5=x+7 ?
The answer to (600)/(x+10)-5=x+7 is x=-11+sqrt(601),x=-11-sqrt(601)
Solve for x: (600)/(x+10)-5=x+7
The solution is x=-11+sqrt(601),x=-11-sqrt(601)