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Simplifying -6c2 + -4c = 25 Reorder the terms: -4c + -6c2 = 25 Solving -4c + -6c2 = 25 Solving for variable 'c'. Reorder the terms: -25 + -4c + -6c2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + -4c + -6c2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(25 + 4c + 6c2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(25 + 4c + 6c2)' equal to zero and attempt to solve: Simplifying 25 + 4c + 6c2 = 0 Solving 25 + 4c + 6c2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 4.166666667 + 0.6666666667c + c2 = 0 Move the constant term to the right: Add '-4.166666667' to each side of the equation. 4.166666667 + 0.6666666667c + -4.166666667 + c2 = 0 + -4.166666667 Reorder the terms: 4.166666667 + -4.166666667 + 0.6666666667c + c2 = 0 + -4.166666667 Combine like terms: 4.166666667 + -4.166666667 = 0.000000000 0.000000000 + 0.6666666667c + c2 = 0 + -4.166666667 0.6666666667c + c2 = 0 + -4.166666667 Combine like terms: 0 + -4.166666667 = -4.166666667 0.6666666667c + c2 = -4.166666667 The c term is 0.6666666667c. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667c + 0.1111111112 + c2 = -4.166666667 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667c + c2 = -4.166666667 + 0.1111111112 Combine like terms: -4.166666667 + 0.1111111112 = -4.0555555558 0.1111111112 + 0.6666666667c + c2 = -4.0555555558 Factor a perfect square on the left side: (c + 0.3333333334)(c + 0.3333333334) = -4.0555555558 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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