Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for x
Solve for f
x∈(−∞,0)∩x=−f+11∪x∈[0,+∞)∩x=−f−11
Evaluate
f×3x=∣3x∣−3
Use the commutative property to reorder the terms
3fx=∣3x∣−3
Calculate the absolute value
3fx=3∣x∣−3
Move the expression to the left side
3fx−(3∣x∣−3)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3fx−3∣x∣+3=0
Separate the equation into 2 possible cases
3fx−3x+3=0,x≥03fx−3(−x)+3=0,x<0
Solve the equation
More Steps
Evaluate
3fx−3x+3=0
Collect like terms by calculating the sum or difference of their coefficients
(3f−3)x+3=0
Move the constant to the right side
(3f−3)x=0−3
Removing 0 doesn't change the value,so remove it from the expression
(3f−3)x=−3
Divide both sides
3f−3(3f−3)x=3f−3−3
Divide the numbers
x=3f−3−3
Divide the numbers
More Steps
Evaluate
3f−3−3
Rewrite the expression
3(f−1)−3
Cancel out the common factor 3
f−1−1
Use b−a=−ba=−ba to rewrite the fraction
−f−11
x=−f−11
x=−f−11,x≥03fx−3(−x)+3=0,x<0
Solve the equation
More Steps
Evaluate
3fx−3(−x)+3=0
Calculate
3fx+3x+3=0
Collect like terms by calculating the sum or difference of their coefficients
(3f+3)x+3=0
Move the constant to the right side
(3f+3)x=0−3
Removing 0 doesn't change the value,so remove it from the expression
(3f+3)x=−3
Divide both sides
3f+3(3f+3)x=3f+3−3
Divide the numbers
x=3f+3−3
Divide the numbers
More Steps
Evaluate
3f+3−3
Rewrite the expression
3(f+1)−3
Cancel out the common factor 3
f+1−1
Use b−a=−ba=−ba to rewrite the fraction
−f+11
x=−f+11
x=−f−11,x≥0x=−f+11,x<0
Find the intersection
x∈[0,+∞)∩x=−f−11x=−f+11,x<0
Find the intersection
x∈[0,+∞)∩x=−f−11x∈(−∞,0)∩x=−f+11
Solution
x∈(−∞,0)∩x=−f+11∪x∈[0,+∞)∩x=−f−11
Show Solution
