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Simplifying 5c2 + 5c + 15 = 0 Reorder the terms: 15 + 5c + 5c2 = 0 Solving 15 + 5c + 5c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5'. 5(3 + c + c2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(3 + c + c2)' equal to zero and attempt to solve: Simplifying 3 + c + c2 = 0 Solving 3 + c + c2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + c + -3 + c2 = 0 + -3 Reorder the terms: 3 + -3 + c + c2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + c + c2 = 0 + -3 c + c2 = 0 + -3 Combine like terms: 0 + -3 = -3 c + c2 = -3 The c term is c. 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. c + 0.25 + c2 = -3 + 0.25 Reorder the terms: 0.25 + c + c2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + c + c2 = -2.75 Factor a perfect square on the left side: (c + 0.5)(c + 0.5) = -2.75 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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