# Solve for A -1/2A^(-3/2)=0 -12A-32=0
Multiply both sides of the equation by -2.
-2⋅(-12)⋅A-32=-2⋅0
Simplify both sides of the equation.
Simplify -2⋅(-12)⋅A-32.
Cancel the common factor of 2.
Move the leading negative in -12 into the numerator.
-2⋅-12⋅A-32=-2⋅0
Factor 2 out of -2.
2(-1)⋅-12⋅A-32=-2⋅0
Cancel the common factor.
2⋅-1⋅-12⋅A-32=-2⋅0
Rewrite the expression.
-1⋅-1⋅A-32=-2⋅0
-1⋅-1⋅A-32=-2⋅0
Multiply.
Multiply -1 by -1.
1⋅A-32=-2⋅0
Multiply A-32 by 1.
A-32=-2⋅0
A-32=-2⋅0
Rewrite the expression using the negative exponent rule b-n=1bn.
1A32=-2⋅0
1A32=-2⋅0
Multiply -2 by 0.
1A32=0
1A32=0
Find the LCD of the terms in the equation.
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
A32,1
Since A32,1 contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part 1,1 then find LCM for the variable part A32.
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
The number 1 is not a prime number because it only has one positive factor, which is itself.
Not prime
The LCM of 1,1 is the result of multiplying all prime factors the greatest number of times they occur in either number.
1
The LCM of A32 is the result of multiplying all prime factors the greatest number of times they occur in either term.
A32
A32
Multiply each term by A32 and simplify.
Multiply each term in 1A32=0 by A32 in order to remove all the denominators from the equation.
1A32⋅A32=0⋅A32
Cancel the common factor of A32.
Cancel the common factor.
1A32⋅A32=0⋅A32
Rewrite the expression.
1=0⋅A32
1=0⋅A32
Multiply 0 by A32.
1=0
1=0
Since 1≠0, there are no solutions.
No solution
Solve for A -1/2A^(-3/2)=0

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