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Simplifying 2r2 + 50r + 1800 = 0 Reorder the terms: 1800 + 50r + 2r2 = 0 Solving 1800 + 50r + 2r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2'. 2(900 + 25r + r2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(900 + 25r + r2)' equal to zero and attempt to solve: Simplifying 900 + 25r + r2 = 0 Solving 900 + 25r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-900' to each side of the equation. 900 + 25r + -900 + r2 = 0 + -900 Reorder the terms: 900 + -900 + 25r + r2 = 0 + -900 Combine like terms: 900 + -900 = 0 0 + 25r + r2 = 0 + -900 25r + r2 = 0 + -900 Combine like terms: 0 + -900 = -900 25r + r2 = -900 The r term is 25r. Take half its coefficient (12.5). Square it (156.25) and add it to both sides. Add '156.25' to each side of the equation. 25r + 156.25 + r2 = -900 + 156.25 Reorder the terms: 156.25 + 25r + r2 = -900 + 156.25 Combine like terms: -900 + 156.25 = -743.75 156.25 + 25r + r2 = -743.75 Factor a perfect square on the left side: (r + 12.5)(r + 12.5) = -743.75 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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