Here are the essential concepts you must grasp in order to answer the question correctly.
Factoring
Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together yield the original expression. In the context of the given equation, recognizing that the left side is a product of two binomials allows for easier manipulation and solving of the equation.
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Zero Product Property
The Zero Product Property states that if the product of two factors equals zero, then at least one of the factors must be zero. This principle is crucial when solving equations that have been factored, as it allows us to set each factor equal to zero to find the possible solutions for the variable.
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Isolating the Variable
Isolating the variable involves rearranging an equation to get the variable on one side and the constants on the other. This technique is essential for solving equations, as it simplifies the process of finding the value of the variable, especially after applying methods like factoring or using the quadratic formula.
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