Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
p∈∅
Alternative Form
No solution
Evaluate
p=0−73∣p∣−33
Removing 0 doesn't change the value,so remove it from the expression
p=−73∣p∣−33
Move the expression to the left side
p−(−73∣p∣−33)=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
p+73∣p∣+33=0
Separate the equation into 2 possible cases
p+73p+33=0,p≥0p+73(−p)+33=0,p<0
Solve the equation
More Steps
Evaluate
p+73p+33=0
Calculate
More Steps
Evaluate
p+73p
Collect like terms by calculating the sum or difference of their coefficients
(1+73)p
Add the numbers
74p
74p+33=0
Move the constant to the right-hand side and change its sign
74p=0−33
Removing 0 doesn't change the value,so remove it from the expression
74p=−33
Divide both sides
7474p=74−33
Divide the numbers
p=74−33
Use b−a=−ba=−ba to rewrite the fraction
p=−7433
p=−7433,p≥0p+73(−p)+33=0,p<0
Solve the equation
More Steps
Evaluate
p+73(−p)+33=0
Calculate
More Steps
Evaluate
p+73(−p)+33
Rewrite the expression
p−73p+33
Subtract the terms
−72p+33
−72p+33=0
Move the constant to the right-hand side and change its sign
−72p=0−33
Removing 0 doesn't change the value,so remove it from the expression
−72p=−33
Change the signs on both sides of the equation
72p=33
Divide both sides
7272p=7233
Divide the numbers
p=7233
Cancel out the common factor 3
p=2411
p=−7433,p≥0p=2411,p<0
Find the intersection
p∈∅p=2411,p<0
Find the intersection
p∈∅p∈∅
Solution
p∈∅
Alternative Form
No solution
Show Solution
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