Which is a solution to the equation?
(x-2)(x + 5) = 18
O x=-10
x= -7
O x=-4
O x=-2

-7 or 4

Step-by-step explanation:

use foil to get the quadratic equation:

x^2+5x-2x-10=18

x^2+3x-10=18

bring "18" to the left:

x^2+3x-10-18

x^2+3x-28

so what*what= -28

and

what+what=3

factors of -28: -7,4   -4,7   14,-2   -14,2    -28,1   -1,28

factors whose sum is 3: 7,-4

so substitute "7,-4" in place of 3:

x^2+7x-4x-28

2) split it in two groups

group 1) x^2+7x

group 2) -4x-28

x^2+7x has a GCF of "x"

x(x+7)

group 2) -4x-28 has a gcf of "-4"

-4(x+7)

3) (x-4) (x+7)=0

x-4=0

x=4

x+7=0

x=-7

x=4,-7

Hope this helps!

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