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

The answer to x/(5(x+3))=4(x-3) is x=(1+sqrt(14401))/(40),x=(1-sqrt(14401))/(40)

Solve for x: x/(5(x+3))=4(x-3)

The solution is x=(1+sqrt(14401))/(40),x=(1-sqrt(14401))/(40)

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\frac{x}{5 ( x + 3 )} = 4 (x - 3)

x = \frac{1 + 14401}{40}, x = \frac{1 - 14401}{40}

Decimal Notation

x = 3.02510 \dots, x = - 2.97510 \dots

Solution steps

\frac{x}{5 ( x + 3 )} = 4 (x - 3)

Multiply both sides by

5 (x + 3)

x = 20 (x - 3) (x + 3)

Solve

x = 20 (x - 3) (x + 3) : x = \frac{1 + 14401}{40}, x = \frac{1 - 14401}{40}

x = \frac{1 + 14401}{40}, x = \frac{1 - 14401}{40}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = \frac{1 + 14401}{40}, x = \frac{1 - 14401}{40}

3 = 2 - \frac{2 x - 13}{x - 5}

\frac{x - 8}{x + 5} = 2

\frac{36}{x} = 9

\frac{x - 6}{x - 2} = \frac{- 9}{x}

\frac{8}{x} = \frac{1}{2 x} + 45

What is the answer to x/(5(x+3))=4(x-3) ?
The answer to x/(5(x+3))=4(x-3) is x=(1+sqrt(14401))/(40),x=(1-sqrt(14401))/(40)
Solve for x: x/(5(x+3))=4(x-3)
The solution is x=(1+sqrt(14401))/(40),x=(1-sqrt(14401))/(40)