To solve quadratic equations using common factors, you generally want to factor the equation into the form \((ax + b)(cx + d) = 0\). Here are the general steps followed by the process to check your answers:
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Write the Equation: Start with the quadratic equation in standard form \(ax^2 + bx + c = 0\).
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Factor the Equation: Identify common factors in the quadratic expression. If it can be factored, write it as a product of two binomials.
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Set Each Factor to Zero: Once factored, set each binomial equal to zero and solve for \(x\).
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Check Your Solutions: Substitute your values of \(x\) back into the original equation to ensure that they satisfy the equation.
If you provide specific quadratic equations or factors you are working with, I can assist you further in solving them or checking answers!
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