Final answer:
The question seems to be related to solving a quadratic equation. Principles such as the quadratic formula, completing the square, and properties of exponents are relevant in this context. Without a complete and clear equation, solving it precisely is not feasible.
Step-by-step explanation:
The question seems to be regarding the simplification or solution of a quadratic equation. In mathematics, to solve a quadratic equation such as x² + bx + c, one could use the quadratic formula or by completing the square. When the equation resembles a perfect square, that can be a simpler method to find the solution for x.
Also, understanding the property of exponents, where (a²)² = a⁴, can help in simplifying expressions. This is illustrated with the example of 5¹ × 5¹ equals 5 because if x² equals √x, then x must be the square root of the original value.
However, as the initial equation appears to be incomplete or has typos, providing a precise answer is challenging, but these principles guide us in the right direction for solving similar problems.
To solve the given equation, we substitute the value of x as 5 in the equation.
First, we simplify the expression on the left side:
x² + x - 12 = 25 + 5 - 12 = 18
Then, we simplify the expression on the right side:
2² = 2 * 2 = 4
Now, we can rewrite the equation as:
18/4 = 4.5 or 9/2
Therefore, the answer is either 4.5 or 9/2.