fill in the steps to complete the square x^2 -10x - 12 = 0
1. Move the constant term to the other side of the equation: x^2 - 10x = 12
2. To complete the square, take half of the coefficient of x (half of -10 is -5) and square it (-5)^2 = 25.
3. Add and subtract the squared value to both sides of the equation: x^2 - 10x + 25 = 12 + 25
4. Simplify: (x - 5)^2 = 37
5. Take the square root of both sides: x - 5 = ±√37
6. Add 5 to both sides to solve for x: x = 5 ± √37
Therefore, the solutions to the equation x^2 - 10x - 12 = 0 are x = 5 + √37 and x = 5 - √37.