What is the answer to (1+3x)(1+2x)=(5-3x)(1-2x) ?

The answer to (1+3x)(1+2x)=(5-3x)(1-2x) is x= 2/9

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(1+3x)(1+2x)=(5-3x)(1-2x)

(1 + 3 x) (1 + 2 x) = (5 - 3 x) (1 - 2 x)

x = \frac{2}{9}

Decimal Notation

x = 0.22222 \dots

Solution steps

(1 + 3 x) (1 + 2 x) = (5 - 3 x) (1 - 2 x)

Expand

(1 + 3 x) (1 + 2 x) : 1 + 5 x + 6 x^{2}

Expand

(5 - 3 x) (1 - 2 x) : 5 - 13 x + 6 x^{2}

1 + 5 x + 6 x^{2} = 5 - 13 x + 6 x^{2}

Move

1

to the right side

5 x + 6 x^{2} = 6 x^{2} - 13 x + 4

Subtract

6 x^{2} - 13 x

from both sides

5 x + 6 x^{2} - (6 x^{2} - 13 x) = 6 x^{2} - 13 x + 4 - (6 x^{2} - 13 x)

Simplify

18 x = 4

Divide both sides by

18

x = \frac{2}{9}

x + 9 > 3

- 2 x = 3

2 x^{2} + 5 x - 4 = 0

2 x - 6 \leq 10

What is the answer to (1+3x)(1+2x)=(5-3x)(1-2x) ?
The answer to (1+3x)(1+2x)=(5-3x)(1-2x) is x= 2/9
Solve for x: (1+3x)(1+2x)=(5-3x)(1-2x)
The solution is x= 2/9