Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x≥0
Alternative Form
x∈[0,+∞)
Evaluate
∣∣x∣∣=x
Simplify
∣x∣=x
Rewrite the expression
∣x∣−x=0
Separate the equation into 2 possible cases
x−x=0,x≥0−x−x=0,x<0
The statement is true for any value of x
More Steps
Evaluate
x−x=0
Calculate
0=0
The statement is true for any value of x
x∈R
x∈R,x≥0−x−x=0,x<0
Solve the equation
More Steps
Evaluate
−x−x=0
Calculate
More Steps
Evaluate
−x−x
Collect like terms by calculating the sum or difference of their coefficients
(−1−1)x
Subtract the numbers
−2x
−2x=0
Change the signs on both sides of the equation
2x=0
Rewrite the expression
x=0
x∈R,x≥0x=0,x<0
Find the intersection
x≥0x=0,x<0
Find the intersection
x≥0x∈∅
Solution
x≥0
Alternative Form
x∈[0,+∞)
Show Solution
Graph
