This is a quadratic equation. Normally, you"ll probably be given something that looks like x^2 + 2x - 5 = 0. Then you"d have lớn factor the equation to lớn solve. Here, you"re lucky - it"s already factored! That means we just need to set each of the two parts equal khổng lồ zero, và solve each part. Remember you can have 2 answers khổng lồ a quadratic equation!

(x-2)(x+3) = 0

(x-2) = 0 OR (x+3)=0x-2+2 = 0+2 OR x+3-3 = 0-3x = 2 OR x = -3

Our two answers are x= 2 and x=-3. This is commonly written as x=2,-3.

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this is already factored. Use the zero hàng hóa rule: if ab=0, then a=0, and b=0

therefore, if (x+2)(x+3)=0, let x+2=0, subtract 2 from each side, & x+2-2 = 0-2, & x = -2

then let the other factor equal 0: let x+3 =0, subtract 3 from each side, x+3-3 = 0-3 and. X = -3

therefore x = -2, and. X = -3

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(x+2)(x+3) - Original Equation

x^2 + 2x +3x + 6 - FOIL

If you are solving for X you have lớn isolate each factor and set it equal to lớn 0

Solve the factor of (X+2) first

x+2=0

(x+2) -2= 0-2 subtract 2 from both sides

Now solve the factor of (x+3)

(x+3) = 0

x+3-3= 0-3 subtract 3 from both sides

From the calculations, you can see that x= -2 and -3.

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