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Simplifying -4h2 + -8h = 28 Reorder the terms: -8h + -4h2 = 28 Solving -8h + -4h2 = 28 Solving for variable 'h'. Reorder the terms: -28 + -8h + -4h2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + -8h + -4h2 = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(7 + 2h + h2) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(7 + 2h + h2)' equal to zero and attempt to solve: Simplifying 7 + 2h + h2 = 0 Solving 7 + 2h + h2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 2h + -7 + h2 = 0 + -7 Reorder the terms: 7 + -7 + 2h + h2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2h + h2 = 0 + -7 2h + h2 = 0 + -7 Combine like terms: 0 + -7 = -7 2h + h2 = -7 The h term is 2h. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2h + 1 + h2 = -7 + 1 Reorder the terms: 1 + 2h + h2 = -7 + 1 Combine like terms: -7 + 1 = -6 1 + 2h + h2 = -6 Factor a perfect square on the left side: (h + 1)(h + 1) = -6 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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