Question
Factor the expression
Factor
(x−1)(x+8)
Evaluate
x2+7x−8
Rewrite the expression
x2+(8−1)x−8
Calculate
x2+8x−x−8
Rewrite the expression
x×x+x×8−x−8
Factor out x from the expression
x(x+8)−x−8
Factor out −1 from the expression
x(x+8)−(x+8)
Solution
(x−1)(x+8)
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Find the roots
Find the roots of the algebra expression
x1=−8,x2=1
Evaluate
x2+7x−8
To find the roots of the expression,set the expression equal to 0
x2+7x−8=0
Factor the expression
More Steps
Evaluate
x2+7x−8
Rewrite the expression
x2+(8−1)x−8
Calculate
x2+8x−x−8
Rewrite the expression
x×x+x×8−x−8
Factor out x from the expression
x(x+8)−x−8
Factor out −1 from the expression
x(x+8)−(x+8)
Factor out x+8 from the expression
(x−1)(x+8)
(x−1)(x+8)=0
When the product of factors equals 0,at least one factor is 0
x−1=0x+8=0
Solve the equation for x
More Steps
Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=1x+8=0
Solve the equation for x
More Steps
Evaluate
x+8=0
Move the constant to the right-hand side and change its sign
x=0−8
Removing 0 doesn't change the value,so remove it from the expression
x=−8
x=1x=−8
Solution
x1=−8,x2=1
Show Solution