Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−478−52425∣k∣
Evaluate
34−52−1−459−699∣k∣×75
Multiply the terms
34−52−1−459−52425∣k∣
Solution
−478−52425∣k∣
Show Solution
Find the roots
k∈∅
Evaluate
34−52−1−459−699∣k∣×75
To find the roots of the expression,set the expression equal to 0
34−52−1−459−699∣k∣×75=0
Subtract the numbers
−18−1−459−699∣k∣×75=0
Subtract the numbers
−19−459−699∣k∣×75=0
Multiply the terms
−19−459−52425∣k∣=0
Subtract the numbers
−478−52425∣k∣=0
Separate the equation into 2 possible cases
−478−52425k=0,k≥0−478−52425(−k)=0,k<0
Solve the equation
More Steps
Evaluate
−478−52425k=0
Move the constant to the right-hand side and change its sign
−52425k=0+478
Removing 0 doesn't change the value,so remove it from the expression
−52425k=478
Change the signs on both sides of the equation
52425k=−478
Divide both sides
5242552425k=52425−478
Divide the numbers
k=52425−478
Use b−a=−ba=−ba to rewrite the fraction
k=−52425478
k=−52425478,k≥0−478−52425(−k)=0,k<0
Solve the equation
More Steps
Evaluate
−478−52425(−k)=0
Calculate
−478+52425k=0
Move the constant to the right-hand side and change its sign
52425k=0+478
Removing 0 doesn't change the value,so remove it from the expression
52425k=478
Divide both sides
5242552425k=52425478
Divide the numbers
k=52425478
k=−52425478,k≥0k=52425478,k<0
Find the intersection
k∈∅k=52425478,k<0
Find the intersection
k∈∅k∈∅
Solution
k∈∅
Show Solution