(x+2)(3+x) Solve for x

Mathematics

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Step-by-step solution

3 steps

This is an expression, not an equation, so it cannot be "solved for x". It can be expanded or simplified.

To expand the expression:

  1. Use the distributive property (FOIL method).

    (x+2)(3+x)=x⋅3+x⋅x+2⋅3+2⋅x(x+2)(3+x) = x \cdot 3 + x \cdot x + 2 \cdot 3 + 2 \cdot x

  2. Perform the multiplications.

    =3x+x2+6+2x= 3x + x^2 + 6 + 2x

  3. Combine like terms.

    =x2+(3x+2x)+6= x^2 + (3x + 2x) + 6
    =x2+5x+6= x^2 + 5x + 6

    The expanded form of the expression is x2+5x+6x^2 + 5x + 6.

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