Question

(х+2)(х+4)-х(х+2)=100

Answer 1

(х+2)(х+4)-х(х+2)=100
2х+8=100
2х=100-8
2х=92
х=46

Answer 2

Let's begin by simplifying the left-hand side of the equation using distributive property of multiplication:

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(x+2)(x+4) - x(x+2) = 100
x^2 + 6x + 8 - x^2 - 2x = 100
4x + 8 = 100

Now we can solve for x by subtracting 8 from both sides and then dividing by 4:

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4x + 8 - 8 = 100 - 8
4x = 92
x = 23

Therefore, the solution to the equation (х+2)(х+4)-х(х+2)=100 is x = 23.