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If a value for a variable "satisfies an equation", that means that when a variable is replaced by the value, the equation is true (same values on the left and on the right).

Some equations have a single solution (a single value that satisfies the equation), for example:

x + 1 = 5

will only be true if x is replaced with 4. A quadratic equation quite often has two solutions, for example:

x2 - 5x + 6 = 0

is true for x = 2, and for x = 3. A polynomial of degree n can have up to n solutions. A trigonometric equation, such as sin(x) = 0, often has an infinite number of solution, due to its periodic nature.

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