Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−(x−1)(x+5)
Evaluate
−x2−4x+5
Rewrite the expression
−x2+(−5+1)x+5
Calculate
−x2−5x+x+5
Rewrite the expression
−x×x−x×5+x+5
Factor out −x from the expression
−x(x+5)+x+5
Factor out x+5 from the expression
(−x+1)(x+5)
Solution
−(x−1)(x+5)
Show Solution
Find the roots
x1=−5,x2=1
Evaluate
−x2−4x+5
To find the roots of the expression,set the expression equal to 0
−x2−4x+5=0
Factor the expression
More Steps
Evaluate
−x2−4x+5
Rewrite the expression
−x2+(−5+1)x+5
Calculate
−x2−5x+x+5
Rewrite the expression
−x×x−x×5+x+5
Factor out −x from the expression
−x(x+5)+x+5
Factor out x+5 from the expression
(−x+1)(x+5)
(−x+1)(x+5)=0
When the product of factors equals 0,at least one factor is 0
−x+1=0x+5=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
Change the signs on both sides of the equation
x=1
x=1x+5=0
Solve the equation for x
More Steps
Evaluate
x+5=0
Move the constant to the right-hand side and change its sign
x=0−5
Removing 0 doesn't change the value,so remove it from the expression
x=−5
x=1x=−5
Solution
x1=−5,x2=1
Show Solution