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Simplifying -2h2 + -2h + -98 = 0 Reorder the terms: -98 + -2h + -2h2 = 0 Solving -98 + -2h + -2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '-2'. -2(49 + h + h2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(49 + h + h2)' equal to zero and attempt to solve: Simplifying 49 + h + h2 = 0 Solving 49 + h + h2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + h + -49 + h2 = 0 + -49 Reorder the terms: 49 + -49 + h + h2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + h + h2 = 0 + -49 h + h2 = 0 + -49 Combine like terms: 0 + -49 = -49 h + h2 = -49 The h term is h. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. h + 0.25 + h2 = -49 + 0.25 Reorder the terms: 0.25 + h + h2 = -49 + 0.25 Combine like terms: -49 + 0.25 = -48.75 0.25 + h + h2 = -48.75 Factor a perfect square on the left side: (h + 0.5)(h + 0.5) = -48.75 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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