What is the answer to ((3x^2-11))/((x^2+3x))=3 ?

The answer to ((3x^2-11))/((x^2+3x))=3 is x=-11/9

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((3x^2-11))/((x^2+3x))=3

\frac{( 3 x ^{2} - 11 )}{( x ^{2} + 3 x )} = 3

x = - \frac{11}{9}

Decimal Notation

x = - 1.22222 \dots

Solution steps

\frac{( 3 x ^{2} - 11 )}{( x ^{2} + 3 x )} = 3

Simplify

\frac{( 3 x ^{2} - 11 )}{( x ^{2} + 3 x )} : \frac{3 x ^{2} - 11}{x ^{2} + 3 x}

\frac{3 x ^{2} - 11}{x ^{2} + 3 x} = 3

Multiply both sides by

x^{2} + 3 x

3 x^{2} - 11 = 3 (x^{2} + 3 x)

Expand

3 (x^{2} + 3 x) : 3 x^{2} + 9 x

3 x^{2} - 11 = 3 x^{2} + 9 x

Move

11

to the right side

3 x^{2} = 3 x^{2} + 9 x + 11

Subtract

3 x^{2} + 9 x

from both sides

3 x^{2} - (3 x^{2} + 9 x) = 3 x^{2} + 9 x + 11 - (3 x^{2} + 9 x)

Simplify

- 9 x = 11

Divide both sides by

- 9

x = - \frac{11}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

x = - \frac{11}{9}

\frac{x ^{2} + 1}{x ^{2}} = \frac{41}{4}

\frac{5}{100} = \frac{0.25}{x}

j (x) = \frac{3}{x ^{3}}

\frac{x ^{2} + m}{3 x} = 3 n

\frac{9.6}{y} = 3

What is the answer to ((3x^2-11))/((x^2+3x))=3 ?
The answer to ((3x^2-11))/((x^2+3x))=3 is x=-11/9
Solve for x: ((3x^2-11))/((x^2+3x))=3
The solution is x=-11/9