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Simplifying -3a2 + -18a + -48 = 0 Reorder the terms: -48 + -18a + -3a2 = 0 Solving -48 + -18a + -3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-3'. -3(16 + 6a + a2) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(16 + 6a + a2)' equal to zero and attempt to solve: Simplifying 16 + 6a + a2 = 0 Solving 16 + 6a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 6a + -16 + a2 = 0 + -16 Reorder the terms: 16 + -16 + 6a + a2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 6a + a2 = 0 + -16 6a + a2 = 0 + -16 Combine like terms: 0 + -16 = -16 6a + a2 = -16 The a term is 6a. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6a + 9 + a2 = -16 + 9 Reorder the terms: 9 + 6a + a2 = -16 + 9 Combine like terms: -16 + 9 = -7 9 + 6a + a2 = -7 Factor a perfect square on the left side: (a + 3)(a + 3) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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