What is the answer to (x+1/9)(x+5/3)=(x+5/3)(x+10) ?

The answer to (x+1/9)(x+5/3)=(x+5/3)(x+10) is x=-5/3

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(x+1/9)(x+5/3)=(x+5/3)(x+10)

(x + \frac{1}{9}) (x + \frac{5}{3}) = (x + \frac{5}{3}) (x + 10)

x = - \frac{5}{3}

Decimal Notation

x = - 1.66666 \dots

Solution steps

(x + \frac{1}{9}) (x + \frac{5}{3}) = (x + \frac{5}{3}) (x + 10)

Expand

(x + \frac{1}{9}) (x + \frac{5}{3}) : x^{2} + \frac{16}{9} x + \frac{5}{27}

Expand

(x + \frac{5}{3}) (x + 10) : x^{2} + \frac{35}{3} x + \frac{50}{3}

x^{2} + \frac{16}{9} x + \frac{5}{27} = x^{2} + \frac{35}{3} x + \frac{50}{3}

Move

\frac{5}{27}

to the right side

x^{2} + \frac{16}{9} x = \frac{445}{27} + \frac{35}{3} x + x^{2}

Subtract

\frac{35}{3} x + x^{2}

from both sides

x^{2} + \frac{16}{9} x - (\frac{35}{3} x + x^{2}) = \frac{445}{27} + \frac{35}{3} x + x^{2} - (\frac{35}{3} x + x^{2})

Simplify

- \frac{89}{9} x = \frac{445}{27}

Multiply both sides by

9

- 89 x = \frac{445}{3}

Divide both sides by

- 89

x = - \frac{5}{3}

y, y = \frac{6}{5} (1 - e^{- 20 t})

lo g_{2} (4 (90) + 6) + lo g_{2} (90) = 2

k, 13 t = \frac{9 k}{4} + 17

3 (h - 6) = 2 (5 - 2 h)

\frac{b x}{a} - \frac{d}{c} = \frac{a}{b} - \frac{c x}{d}

What is the answer to (x+1/9)(x+5/3)=(x+5/3)(x+10) ?
The answer to (x+1/9)(x+5/3)=(x+5/3)(x+10) is x=-5/3
Solve for x: (x+1/9)(x+5/3)=(x+5/3)(x+10)
The solution is x=-5/3