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Simplifying 3a2 + -12a + 15 = 0 Reorder the terms: 15 + -12a + 3a2 = 0 Solving 15 + -12a + 3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(5 + -4a + a2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + -4a + a2)' equal to zero and attempt to solve: Simplifying 5 + -4a + a2 = 0 Solving 5 + -4a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -4a + -5 + a2 = 0 + -5 Reorder the terms: 5 + -5 + -4a + a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4a + a2 = 0 + -5 -4a + a2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4a + a2 = -5 The a term is -4a. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4a + 4 + a2 = -5 + 4 Reorder the terms: 4 + -4a + a2 = -5 + 4 Combine like terms: -5 + 4 = -1 4 + -4a + a2 = -1 Factor a perfect square on the left side: (a + -2)(a + -2) = -1 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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