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Simplifying 0 = 2m2 + 9m + 26 Reorder the terms: 0 = 26 + 9m + 2m2 Solving 0 = 26 + 9m + 2m2 Solving for variable 'm'. Combine like terms: 0 + -26 = -26 -26 + -9m + -2m2 = 26 + 9m + 2m2 + -26 + -9m + -2m2 Reorder the terms: -26 + -9m + -2m2 = 26 + -26 + 9m + -9m + 2m2 + -2m2 Combine like terms: 26 + -26 = 0 -26 + -9m + -2m2 = 0 + 9m + -9m + 2m2 + -2m2 -26 + -9m + -2m2 = 9m + -9m + 2m2 + -2m2 Combine like terms: 9m + -9m = 0 -26 + -9m + -2m2 = 0 + 2m2 + -2m2 -26 + -9m + -2m2 = 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -26 + -9m + -2m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(26 + 9m + 2m2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(26 + 9m + 2m2)' equal to zero and attempt to solve: Simplifying 26 + 9m + 2m2 = 0 Solving 26 + 9m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 13 + 4.5m + m2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + 4.5m + -13 + m2 = 0 + -13 Reorder the terms: 13 + -13 + 4.5m + m2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4.5m + m2 = 0 + -13 4.5m + m2 = 0 + -13 Combine like terms: 0 + -13 = -13 4.5m + m2 = -13 The m term is 4.5m. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5m + 5.0625 + m2 = -13 + 5.0625 Reorder the terms: 5.0625 + 4.5m + m2 = -13 + 5.0625 Combine like terms: -13 + 5.0625 = -7.9375 5.0625 + 4.5m + m2 = -7.9375 Factor a perfect square on the left side: (m + 2.25)(m + 2.25) = -7.9375 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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