So to help with the first one 2 / x = 5 multiply the x on both sides 2 = 5x divide by 5 to isolate the x 2/5 = x
For the second one We will use the diamond to help us find the common factor \ 1 / \ / \ / 2 / \ 4 / 3 \ / \
1) the product 2) and 4) the two numbers and 3) is sum
10 is the product and -7 is the sum so what two numbers (factors of 10) will equal -7 when added
so we have these numbers that will equal the product of +10 and we will need to find the ones that will equal -7 as the sum 10*1, 2*5, -1*-10, -2*-5 if we add the two numbers we will find respectively 11, 7, -11, -7 As you can see that -2 + -5 = +10 and -2+-5= +10 So we have found the two numbers now before we factor the expression looks like ( x + a) (x + b) and when factored looks like x^2 + (a+b)x + (a*b) Now we can plug in the numbers and solve to see if -2 and -5 are right (x + -2) (x + -5) we will factor it x^2 +-5x + -2x + 10 x^2 + -7x + 10 so a = -2 and b = -5
