What is the answer to x=(x^2+5x+4)/(x-3) ?

The answer to x=(x^2+5x+4)/(x-3) is x=-1/2

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x=(x^2+5x+4)/(x-3)

x = \frac{x ^{2} + 5 x + 4}{x - 3}

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

x = \frac{x ^{2} + 5 x + 4}{x - 3}

Multiply both sides by

x - 3

x (x - 3) = x^{2} + 5 x + 4

Expand

x (x - 3) : x^{2} - 3 x

x^{2} - 3 x = x^{2} + 5 x + 4

Subtract

x^{2} + 5 x

from both sides

x^{2} - 3 x - (x^{2} + 5 x) = x^{2} + 5 x + 4 - (x^{2} + 5 x)

Simplify

- 8 x = 4

Divide both sides by

- 8

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - \frac{1}{2}

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

\frac{5}{3 x - 4} = \frac{2}{x + 3}

\frac{2 x + 2}{6 x + 8} = 3

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

\frac{1.4}{1} = \frac{2}{x}

What is the answer to x=(x^2+5x+4)/(x-3) ?
The answer to x=(x^2+5x+4)/(x-3) is x=-1/2
Solve for x: x=(x^2+5x+4)/(x-3)
The solution is x=-1/2