What is the answer to (x+1)(x+5)=(x-5)(x+10) ?

The answer to (x+1)(x+5)=(x-5)(x+10) is x=-55

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(x+1)(x+5)=(x-5)(x+10)

(x + 1) (x + 5) = (x - 5) (x + 10)

x = - 55

Solution steps

(x + 1) (x + 5) = (x - 5) (x + 10)

Expand

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

Expand

(x - 5) (x + 10) : x^{2} + 5 x - 50

x^{2} + 6 x + 5 = x^{2} + 5 x - 50

Move

5

to the right side

x^{2} + 6 x = x^{2} + 5 x - 55

Subtract

x^{2} + 5 x

from both sides

x^{2} + 6 x - (x^{2} + 5 x) = x^{2} + 5 x - 55 - (x^{2} + 5 x)

Simplify

x = - 55

x, 4 x + 3 y = - 2

3 (2 x - 5) - 7 x = 12

- 10 = 2 + 3 x

7 n + 2 = 65

x, 8 x + 12 y = - 96

What is the answer to (x+1)(x+5)=(x-5)(x+10) ?
The answer to (x+1)(x+5)=(x-5)(x+10) is x=-55
Solve for x: (x+1)(x+5)=(x-5)(x+10)
The solution is x=-55