Final answer:
To simplify equation x² = 0.106 (0.360 - 1.202x+x²), expand the right side, eliminate like terms including x² when possible, combine constants and coefficients, solve, and check the answer for reasonableness.
Step-by-step explanation:
To simplify the expression x² = 0.106 (0.360 - 1.202x+x²), we start by expanding the right side of the equation. This involves distributing the 0.106 across each term within the parentheses. After expansion, you would have terms with x² on both sides of the equation, which can be eliminated whenever possible in order to simplify the algebra further.
Next, you would combine like terms and see if any further simplification is possible. This process might involve combining constant terms and/or coefficients of x. Once simplified, you would solve the equation.
The last step is to check if the answer is reasonable, ensuring there was no mistake in the calculation process.