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

The answer to (x+5)(x+4)=(x+3)(x+2) is x=-7/2

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(x+5)(x+4)=(x+3)(x+2)

(x + 5) (x + 4) = (x + 3) (x + 2)

x = - \frac{7}{2}

Decimal Notation

x = - 3.5

Solution steps

(x + 5) (x + 4) = (x + 3) (x + 2)

Expand

(x + 5) (x + 4) : x^{2} + 9 x + 20

Expand

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

x^{2} + 9 x + 20 = x^{2} + 5 x + 6

Move

20

to the right side

x^{2} + 9 x = x^{2} + 5 x - 14

Subtract

x^{2} + 5 x

from both sides

x^{2} + 9 x - (x^{2} + 5 x) = x^{2} + 5 x - 14 - (x^{2} + 5 x)

Simplify

4 x = - 14

Divide both sides by

4

x = - \frac{7}{2}

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

x, y^{2} + 2 x y = 16

- 2 (x - 2) - 4 x = 3 (x + 1) - 9 x

y, 4 x + 2 y = 12

9 y + 8 = 9 y - 8

What is the answer to (x+5)(x+4)=(x+3)(x+2) ?
The answer to (x+5)(x+4)=(x+3)(x+2) is x=-7/2
Solve for x: (x+5)(x+4)=(x+3)(x+2)
The solution is x=-7/2