Answer:
a: b = 0, 4.5
b: x = -2
c: x = -2, 4
d: u = 2, 3
Explanation:
We can use the zero product property for all of these equations. These equations are given to us already factored, so now we just need to solve them.
a:
Given:
b(b - 4.5) = 0
Zero product property:
b = 0 & b - 4.5 = 0
Add 4.5 to both sides of the right equation:
b = 0 & b = 4.5
b = 0, 4.5
b:
Given:
(7x + 14)(7x + 14) = 0
Zero product property:
➜ Here, it's the same equation.
7x + 14 = 0 & 7x + 14 = 0
Subtract 14 from both sides of the equation:
7x = -14
Divide both sides of the equation by 7:
x = -2
c:
Given:
(2x + 4)(x - 4)=0
Zero product property:
2x + 4 = 0 & x - 4 = 0
Isolate the variable x in each instance by subtracting from both sides in the left and adding 4 to both sides in the right:
2x = -4 & x = 4
Divide both sides of the left equation by 2:
x = -2 & x = 4
x = -2, 4
d:
Given:
(-2 + u)(3 - u) = 0
Zero product property:
-2 + u = 0 & 3 - u = 0
Isolate the variable u in each instance by adding 2 to both sides in the left and u to both sides in the right:
u = 2 & u = 3
u = 2, 3