Factor out x-1.
... (x-1)(1 + x) = 3(x-1)
... (x-1)(x +1 -3) = 0 . . . . subtract the right side
... (x -1)(x -2) = 0 . . . . . . simplify
... x = 1 . . . or . . . x = 2 . . . . use the zero-product rule*
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* A product is only zero when one or more of its factors is zero.
x-1+x(x-1)=3(x-1)
x^2-1=3x-3
x^2-3x+2=0
Factor: (x-1)(x-2)=0
Set factors equal to 0:
x-1=0 and x-2=0
x=1 or x=2
Answer:
P = 2x² + 8x - 30
P = 12 (if x = 3)
Step-by-step explanation:
Perimeter Formula: 2l + 2w
Step 1: Find perimeter
2(2x² - 16) + 2(-x² + 4x + 1)
4x² - 32 - 2x² + 8x + 2
2x² + 8x - 30
Step 2: Plug in x = 3
2(3)² + 8(3) -30
18 + 24 - 30
42 - 30
12
What is the number?
A.
–45
B.
–30
C.
–15
D.
–5
Answer:
x = 22
Step-by-step explanation:
x-10=12
add 10 to each side
x-10+10=12+10
x = 22
x=22
To find the answer you must isolate x. So the first step would be to add 10 to each side (you must do the same thing to both sides). You would end up with x=22. You can replace x with 22 and solve to check your work.