Question
Simplify the expression
−5x−2
Evaluate
x2−2x−1−x2−2x−1×x−1
Multiply the terms
x2−2x−1−x2−2x−x−1
The sum of two opposites equals 0
More Steps

Evaluate
x2−x2
Collect like terms
(1−1)x2
Add the coefficients
0×x2
Calculate
0
0−2x−1−2x−x−1
Remove 0
−2x−1−2x−x−1
Subtract the terms
More Steps

Evaluate
−2x−2x−x
Collect like terms by calculating the sum or difference of their coefficients
(−2−2−1)x
Subtract the numbers
−5x
−5x−1−1
Solution
−5x−2
Show Solution

Find the roots
x=−52
Alternative Form
x=−0.4
Evaluate
x2−2x−1−x2−2x−1×x−1
To find the roots of the expression,set the expression equal to 0
x2−2x−1−x2−2x−1×x−1=0
Subtract the terms
More Steps

Simplify
x2−2x−1−x2
The sum of two opposites equals 0
More Steps

Evaluate
x2−x2
Collect like terms
(1−1)x2
Add the coefficients
0×x2
Calculate
0
0−2x−1
Remove 0
−2x−1
−2x−1−2x−1×x−1=0
Any expression multiplied by 1 remains the same
−2x−1−2x−x−1=0
Subtract the terms
More Steps

Simplify
−2x−1−2x
Subtract the terms
More Steps

Evaluate
−2x−2x
Collect like terms by calculating the sum or difference of their coefficients
(−2−2)x
Subtract the numbers
−4x
−4x−1
−4x−1−x−1=0
Subtract the terms
More Steps

Simplify
−4x−1−x
Subtract the terms
More Steps

Evaluate
−4x−x
Collect like terms by calculating the sum or difference of their coefficients
(−4−1)x
Subtract the numbers
−5x
−5x−1
−5x−1−1=0
Subtract the numbers
−5x−2=0
Move the constant to the right-hand side and change its sign
−5x=0+2
Removing 0 doesn't change the value,so remove it from the expression
−5x=2
Change the signs on both sides of the equation
5x=−2
Divide both sides
55x=5−2
Divide the numbers
x=5−2
Solution
x=−52
Alternative Form
x=−0.4
Show Solution
