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Simplifying -8z2 + -48z + -73 = 0 Reorder the terms: -73 + -48z + -8z2 = 0 Solving -73 + -48z + -8z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '-1'. -1(73 + 48z + 8z2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(73 + 48z + 8z2)' equal to zero and attempt to solve: Simplifying 73 + 48z + 8z2 = 0 Solving 73 + 48z + 8z2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 9.125 + 6z + z2 = 0 Move the constant term to the right: Add '-9.125' to each side of the equation. 9.125 + 6z + -9.125 + z2 = 0 + -9.125 Reorder the terms: 9.125 + -9.125 + 6z + z2 = 0 + -9.125 Combine like terms: 9.125 + -9.125 = 0.000 0.000 + 6z + z2 = 0 + -9.125 6z + z2 = 0 + -9.125 Combine like terms: 0 + -9.125 = -9.125 6z + z2 = -9.125 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 = -9.125 + 9 Reorder the terms: 9 + 6z + z2 = -9.125 + 9 Combine like terms: -9.125 + 9 = -0.125 9 + 6z + z2 = -0.125 Factor a perfect square on the left side: (z + 3)(z + 3) = -0.125 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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