Solve the following in box method:
3 to the second power times 16x-18=-6
First, rewrite the equation:
(3^2)(16x - 18) = -6
Now, simplify the left side of the equation using the box method:
1 | 3 | 9
- | - | -
16 | 48 | 144
Now, multiply the values in the boxes diagonally and add them together:
(9 * 16x) + (3 * -18) = -6
144x - 54 = -6
Next, add 54 to both sides of the equation to isolate the variable:
144x = 48
Finally, divide by 144 to solve for x:
x = 48/144
x = 1/3
Therefore, the solution to the equation is x = 1/3.