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Simplifying x2 + 4ax + 8a + 12 = 0 Reorder the terms: 12 + 8a + 4ax + x2 = 0 Solving 12 + 8a + 4ax + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 8a + 4ax + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 8a + 4ax + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 8a + 4ax + x2 = 0 + -12 8a + 4ax + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 8a + 4ax + x2 = -12 Add '-1x2' to each side of the equation. 8a + 4ax + x2 + -1x2 = -12 + -1x2 Combine like terms: x2 + -1x2 = 0 8a + 4ax + 0 = -12 + -1x2 8a + 4ax = -12 + -1x2 Reorder the terms: 12 + 8a + 4ax + x2 = -12 + -1x2 + 12 + x2 Reorder the terms: 12 + 8a + 4ax + x2 = -12 + 12 + -1x2 + x2 Combine like terms: -12 + 12 = 0 12 + 8a + 4ax + x2 = 0 + -1x2 + x2 12 + 8a + 4ax + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 12 + 8a + 4ax + x2 = 0 The solution to this equation could not be determined.
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