Question

Solve:
6^2+2•6^3x=1
X=

Answer 1

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).