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Simplifying 16h2 + 72h + 200 = 0 Reorder the terms: 200 + 72h + 16h2 = 0 Solving 200 + 72h + 16h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '8'. 8(25 + 9h + 2h2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(25 + 9h + 2h2)' equal to zero and attempt to solve: Simplifying 25 + 9h + 2h2 = 0 Solving 25 + 9h + 2h2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 12.5 + 4.5h + h2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + 4.5h + -12.5 + h2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + 4.5h + h2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 4.5h + h2 = 0 + -12.5 4.5h + h2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 4.5h + h2 = -12.5 The h term is 4.5h. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5h + 5.0625 + h2 = -12.5 + 5.0625 Reorder the terms: 5.0625 + 4.5h + h2 = -12.5 + 5.0625 Combine like terms: -12.5 + 5.0625 = -7.4375 5.0625 + 4.5h + h2 = -7.4375 Factor a perfect square on the left side: (h + 2.25)(h + 2.25) = -7.4375 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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