{"id":200092,"date":"2024-01-30T18:26:19","date_gmt":"2024-01-30T18:26:19","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/how-to-factor-an-absolute-value\/"},"modified":"2024-01-30T18:26:19","modified_gmt":"2024-01-30T18:26:19","slug":"how-to-factor-an-absolute-value","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-to-factor-an-absolute-value\/","title":{"rendered":"How to factor an absolute value?"},"content":{"rendered":"

When factoring an absolute value, we are essentially looking for the values that would result in the same positive number inside the absolute value function. Factoring an absolute value equation involves finding both positive and negative solutions that satisfy the equation. <\/p>\n

There are two steps to factor an absolute value expression:
\n1. **Isolate the absolute value expression:** Set the expression within the absolute value bars equal to both positive and negative values.
\n2. **Solve for the variable:** After isolating the absolute value expression, solve for the variable in both cases to find all possible solutions.<\/p>\n

Let’s consider an example to better understand how to factor an absolute value:
\nGiven the absolute value equation |x – 5| = 3, we will start by isolating the absolute value expression:
\nx – 5 = 3 (when the expression inside the absolute value is positive)
\nx – 5 = -3 (when the expression inside the absolute value is negative)
\nSolving these two equations, we find the solutions x = 8 and x = 2.<\/p>\n

So, to factor an absolute value expression, follow the two steps mentioned above to find all possible solutions that satisfy the given equation.<\/p>\n

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