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Simplifying -1z2 + -6z + -48 = 0 Reorder the terms: -48 + -6z + -1z2 = 0 Solving -48 + -6z + -1z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '-1'. -1(48 + 6z + z2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(48 + 6z + z2)' equal to zero and attempt to solve: Simplifying 48 + 6z + z2 = 0 Solving 48 + 6z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + 6z + -48 + z2 = 0 + -48 Reorder the terms: 48 + -48 + 6z + z2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 6z + z2 = 0 + -48 6z + z2 = 0 + -48 Combine like terms: 0 + -48 = -48 6z + z2 = -48 The z term is 6z. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6z + 9 + z2 = -48 + 9 Reorder the terms: 9 + 6z + z2 = -48 + 9 Combine like terms: -48 + 9 = -39 9 + 6z + z2 = -39 Factor a perfect square on the left side: (z + 3)(z + 3) = -39 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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