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Simplifying -1x2 + -12x + -48 = 0 Reorder the terms: -48 + -12x + -1x2 = 0 Solving -48 + -12x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(48 + 12x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(48 + 12x + x2)' equal to zero and attempt to solve: Simplifying 48 + 12x + x2 = 0 Solving 48 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + 12x + -48 + x2 = 0 + -48 Reorder the terms: 48 + -48 + 12x + x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 12x + x2 = 0 + -48 12x + x2 = 0 + -48 Combine like terms: 0 + -48 = -48 12x + x2 = -48 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -48 + 36 Reorder the terms: 36 + 12x + x2 = -48 + 36 Combine like terms: -48 + 36 = -12 36 + 12x + x2 = -12 Factor a perfect square on the left side: (x + 6)(x + 6) = -12 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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