Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
∣a+1∣−∣a∣
Evaluate
∣−a−1∣−∣−a×1∣
Any expression multiplied by 1 remains the same
∣−a−1∣−∣−a∣
Calculate the absolute value
∣a+1∣−∣−a∣
Solution
∣a+1∣−∣a∣
Show Solution
Find the roots
a=−21
Alternative Form
a=−0.5
Evaluate
∣−a−1∣−∣−a×1∣
To find the roots of the expression,set the expression equal to 0
∣−a−1∣−∣−a×1∣=0
Any expression multiplied by 1 remains the same
∣−a−1∣−∣−a∣=0
Calculate the absolute value
∣a+1∣−∣−a∣=0
Calculate the absolute value
∣a+1∣−∣a∣=0
Rewrite the expression
∣a+1∣=∣a∣
Evaluate
a+1=aa+1=−a
Calculate
More Steps
Evaluate
a+1=a
Cancel equal terms on both sides of the expression
1=0
The statement is false for any value of a
a∈∅
a∈∅a+1=−a
Calculate
More Steps
Evaluate
a+1=−a
Move the variable to the left side
a+1+a=0
Add the terms
More Steps
Evaluate
a+a
Collect like terms by calculating the sum or difference of their coefficients
(1+1)a
Add the numbers
2a
2a+1=0
Move the constant to the right side
2a=0−1
Removing 0 doesn't change the value,so remove it from the expression
2a=−1
Divide both sides
22a=2−1
Divide the numbers
a=2−1
Use b−a=−ba=−ba to rewrite the fraction
a=−21
a∈∅a=−21
Solution
a=−21
Alternative Form
a=−0.5
Show Solution