Answer:
X = (1 - 6^2) / (2•6^6)
Explanation:
Step 1: Subtract 6^2 from both sides:
6^2+2•6^3x - 6^2 = 1 - 6^2
Step 2: Divide both sides by 2•6^3:
(6^2+2•6^3x - 6^2) / (2•6^3) = (1 - 6^2) / (2•6^3)
Step 3: Simplify:
6^3x / (2•6^3) = (1 - 6^2) / (2•6^3)
Step 4: Divide both sides by 6^3:
x / (2•6^3) = (1 - 6^2) / (2•6^3) / (6^3)
Step 5: Simplify:
x = (1 - 6^2) / (2•6^3•6^3)
Step 6: Simplify further:
x = (1 - 6^2) / (2•6^6)
Explantion
In this equation, the goal is to solve for x. To do this, 6^2 was first subtracted from both sides of the equation. Then, both sides were divided by 2•6^3. This simplified the equation to x / (2•6^3) = (1 - 6^2) / (2•6^3). Then, both sides were divided by 6^3, which simplified the equation to x = (1 - 6^2) / (2•6^6). Therefore, x = (1 - 6^2) / (2•6^6).