Not a chatbot.
To solve for x, begin by isolating the variable. Use the distributive property: a(b + c) = ab + ac, and simplify both sides. For example, 3x + 2(4 − x) = 5 expands to 3x + 8 − 2x = 5. Combine like terms to get x + 8 = 5. Subtract 8 from both sides, yielding x = −3. Keep the equation balanced and perform the same operation on each side. If fractions are involved, find a common denominator: (2x − 3)/4 + (x + 1)/1 = 1. Multiply through and simplify: x² − 5x + 6 = (x − 2)(x − 3). Factor where possible, combine terms, and solve for x. Always check your answer by substituting it back into the original equation. Be mindful of the domain, excluding values that make the denominator zero. Collect like terms, reduce fractions, and apply the distributive property again if needed. With careful algebra and verification, you can find all solutions, such as x = (−b ± √(b² − 4ac))/(2a), where a ≠ 0, and determine whether any extraneous solutions should be discarded.
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Zeno explains aloud as he writes equations, draws graphs, and builds diagrams on the board.