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Simplifying 3c2 + 30c = -90 Reorder the terms: 30c + 3c2 = -90 Solving 30c + 3c2 = -90 Solving for variable 'c'. Reorder the terms: 90 + 30c + 3c2 = -90 + 90 Combine like terms: -90 + 90 = 0 90 + 30c + 3c2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(30 + 10c + c2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(30 + 10c + c2)' equal to zero and attempt to solve: Simplifying 30 + 10c + c2 = 0 Solving 30 + 10c + c2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + 10c + -30 + c2 = 0 + -30 Reorder the terms: 30 + -30 + 10c + c2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 10c + c2 = 0 + -30 10c + c2 = 0 + -30 Combine like terms: 0 + -30 = -30 10c + c2 = -30 The c term is 10c. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10c + 25 + c2 = -30 + 25 Reorder the terms: 25 + 10c + c2 = -30 + 25 Combine like terms: -30 + 25 = -5 25 + 10c + c2 = -5 Factor a perfect square on the left side: (c + 5)(c + 5) = -5 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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