To solve any mathematical problem systematically, follow these essential steps:
Identify and understand the operation or equation.
Set up the equation with given values or variables.
Solve for the unknown variable.
In our problem of 3 ? x = -45, we:
- First understand the operation, defined as \(a ? b = (a + 2)(b ? 3)\).
- Substitute the given values into the operation: (3 + 2)(x ? 3) = 5(x ? 3).
- Form the equation 5(x ? 3) = -45 to solve for 'x'.
To isolate 'x', divide both sides by 5 to get x ? 3 = -9.
Finally, add 3 to both sides to find x, so x = -6.