Final answer:
This question involves solving algebraic equations, understanding exponent properties, and performing operations with signs. Key concepts include mental math with exponents, sign rules for addition, subtraction, multiplication, and division, and using the quadratic formula to find x values.
Step-by-step explanation:
The question seems to be about finding the value of x in an algebraic equation. A key aspect of solving algebraic equations is understanding the properties of exponents and operation signs. For example, negative exponents indicate that the term needs to be placed in the denominator. We see discussions of performing mental math with exponents, such as recognizing that a number like 24 can be expressed as 24×1012 and then simplifying it by adjusting prefactors and exponents.
When dealing with expression signs, subtraction or addition of a negative number effectively changes the operation; for instance, subtracting a negative is the same as adding the positive equivalent. Multiplication and division rules for signs are also discussed, where the product or quotient of two numbers will be positive if the signs are alike and negative if the signs are different.
Finally, there's a mention of using the quadratic formula to find the value of x, which is a fundamental technique in algebra when solving quadratic equations. It involves identifying the values of the coefficients and determining the two possible solutions for x.