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(x + 3)(x − 1) = − x + 1 Solve for x.

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christiano-cr7 | Salutatorian

Posted July 26, 2013 at 4:49 AM via web

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(x + 3)(x − 1) = − x + 1 Solve for x.

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted July 26, 2013 at 5:07 AM (Answer #1)

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`(x+3)(x-1) = -x+1`

`(x+3)(x-1) = -(x-1)`

See that (x-1) term in both sides cancel out.

`(x+3) = -1`

`x = -1-3`

`x = -4`

So the answer is x = -4.

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aruv | High School Teacher | Valedictorian

Posted July 26, 2013 at 7:34 AM (Answer #2)

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It is quadratc equation so it has two roots

`(x+3)(x-1)=-x+1`

`(x+3)(x-1)=-(x-1)`

`(x+3)(x-1)+(x-1)=0`

`(x-1)(x+3+1)=0`

`(x-1)(x+4)=0`

`either `

`x+4=0`

`x=-4`

`or`

`x-1=0`

`x=1`

Also we can verify it wth help of graph

Let

f(x)=(x+3)(x-1)+(x-1) The zeros of f(x) is root of equation f(x)=0

f(x) eets x-axis at x=-4 and x=1

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user4825270 | Student | eNoter

Posted July 27, 2013 at 9:17 PM (Answer #3)

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(x+3)(x-1)=-X+1
we expand the brackets
x(x-1)+3(x-1)=-x+1
x^2-x+3x-3=-x+1
x^2+3x-4=0
(x^2-x)+(4x-4)=0
x((x-1)+4(x-1)=0
(x+4)(x-1)=0
x=-4 or 1

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