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Simplifying -1a2 + -12a + -70 = 0 Reorder the terms: -70 + -12a + -1a2 = 0 Solving -70 + -12a + -1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1'. -1(70 + 12a + a2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(70 + 12a + a2)' equal to zero and attempt to solve: Simplifying 70 + 12a + a2 = 0 Solving 70 + 12a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-70' to each side of the equation. 70 + 12a + -70 + a2 = 0 + -70 Reorder the terms: 70 + -70 + 12a + a2 = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 12a + a2 = 0 + -70 12a + a2 = 0 + -70 Combine like terms: 0 + -70 = -70 12a + a2 = -70 The a term is 12a. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12a + 36 + a2 = -70 + 36 Reorder the terms: 36 + 12a + a2 = -70 + 36 Combine like terms: -70 + 36 = -34 36 + 12a + a2 = -34 Factor a perfect square on the left side: (a + 6)(a + 6) = -34 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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