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1) (x-4)(2x-7) = 0
Any value of x that makes one of the factors equal to zero is a solution.
x-4 = 0
x = 4 (add 4 to both sides of the equation)
2x-7 = 0
2x = 7 (add 7 to both sides of the equation)
x = 7/2 (divide both sides of the equation by 2)
The solution set is x = {4, 7/2}
2) x2 + 5x - 36 = 0
x2 + 5x - 36 = (x-4)(x+9) = 0
As above, x = 4 is a solution
x+9 = 0
x = -9 (subtract 9 from both sides of the equation)
The solution set is x = {-9, 4}
Any value of x that makes one of the factors equal to zero is a solution.
x-4 = 0
x = 4 (add 4 to both sides of the equation)
2x-7 = 0
2x = 7 (add 7 to both sides of the equation)
x = 7/2 (divide both sides of the equation by 2)
The solution set is x = {4, 7/2}
2) x2 + 5x - 36 = 0
x2 + 5x - 36 = (x-4)(x+9) = 0
As above, x = 4 is a solution
x+9 = 0
x = -9 (subtract 9 from both sides of the equation)
The solution set is x = {-9, 4}
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