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Simplifying 7c2 + 35c + 63 = 0 Reorder the terms: 63 + 35c + 7c2 = 0 Solving 63 + 35c + 7c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '7'. 7(9 + 5c + c2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(9 + 5c + c2)' equal to zero and attempt to solve: Simplifying 9 + 5c + c2 = 0 Solving 9 + 5c + c2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 5c + -9 + c2 = 0 + -9 Reorder the terms: 9 + -9 + 5c + c2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5c + c2 = 0 + -9 5c + c2 = 0 + -9 Combine like terms: 0 + -9 = -9 5c + c2 = -9 The c term is 5c. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5c + 6.25 + c2 = -9 + 6.25 Reorder the terms: 6.25 + 5c + c2 = -9 + 6.25 Combine like terms: -9 + 6.25 = -2.75 6.25 + 5c + c2 = -2.75 Factor a perfect square on the left side: (c + 2.5)(c + 2.5) = -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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