Solution - Linear equations with one unknown
x=64
Step by Step Solution
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8^3*x-(32768)=0
Step by step solution :
Step 1 :
1.1 8 = 23
(8)3 = (23)3 = 29
Equation at the end of step 1 :
(29 • x) - 32768 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
512x - 32768 = 512 • (x - 64)
Equation at the end of step 3 :
512 • (x - 64) = 0
Step 4 :
Equations which are never true :
4.1 Solve : 512 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : x-64 = 0
Add 64 to both sides of the equation :
x = 64
One solution was found :
x = 64How did we do?
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