Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
6−93∣x∣
Evaluate
6−∣93x∣
Solution
6−93∣x∣
Show Solution
Factor the expression
3(2−31∣x∣)
Evaluate
6−∣93x∣
Calculate the absolute value
6−93∣x∣
Solution
3(2−31∣x∣)
Show Solution
Find the roots
x1=−312,x2=312
Alternative Form
x1≈−0.064516,x2≈0.064516
Evaluate
6−∣93x∣
To find the roots of the expression,set the expression equal to 0
6−∣93x∣=0
Calculate the absolute value
6−93∣x∣=0
Separate the equation into 2 possible cases
6−93x=0,x≥06−93(−x)=0,x<0
Solve the equation
More Steps
Evaluate
6−93x=0
Move the constant to the right-hand side and change its sign
−93x=0−6
Removing 0 doesn't change the value,so remove it from the expression
−93x=−6
Change the signs on both sides of the equation
93x=6
Divide both sides
9393x=936
Divide the numbers
x=936
Cancel out the common factor 3
x=312
x=312,x≥06−93(−x)=0,x<0
Solve the equation
More Steps
Evaluate
6−93(−x)=0
Calculate
6+93x=0
Move the constant to the right-hand side and change its sign
93x=0−6
Removing 0 doesn't change the value,so remove it from the expression
93x=−6
Divide both sides
9393x=93−6
Divide the numbers
x=93−6
Divide the numbers
More Steps
Evaluate
93−6
Cancel out the common factor 3
31−2
Use b−a=−ba=−ba to rewrite the fraction
−312
x=−312
x=312,x≥0x=−312,x<0
Find the intersection
x=312x=−312,x<0
Find the intersection
x=312x=−312
Solution
x1=−312,x2=312
Alternative Form
x1≈−0.064516,x2≈0.064516
Show Solution