Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
31∣x∣
Evaluate
−31x+−32x
Calculate the absolute value
−31∣x∣+−32x
Calculate the absolute value
More Steps
Calculate
−32x
Rewrite the expression
32x
Rewrite the expression
32∣x∣
−31∣x∣+32∣x∣
Collect like terms by calculating the sum or difference of their coefficients
(−31+32)∣x∣
Solution
More Steps
Evaluate
−31+32
Write all numerators above the common denominator
3−1+2
Add the numbers
31
31∣x∣
Show Solution
Find the roots
x=0
Evaluate
−31x+−32x
To find the roots of the expression,set the expression equal to 0
−31x+−32x=0
Calculate the absolute value
−31∣x∣+−32x=0
Calculate the absolute value
More Steps
Calculate
−32x
Rewrite the expression
32x
Rewrite the expression
32∣x∣
−31∣x∣+32∣x∣=0
Add the terms
More Steps
Evaluate
−31∣x∣+32∣x∣
Collect like terms by calculating the sum or difference of their coefficients
(−31+32)∣x∣
Add the numbers
More Steps
Evaluate
−31+32
Write all numerators above the common denominator
3−1+2
Add the numbers
31
31∣x∣
31∣x∣=0
Rewrite the expression
∣x∣=0
Solution
x=0
Show Solution