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Simplifying 24m2 + -14m + 24 = 0 Reorder the terms: 24 + -14m + 24m2 = 0 Solving 24 + -14m + 24m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -7m + 12m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -7m + 12m2)' equal to zero and attempt to solve: Simplifying 12 + -7m + 12m2 = 0 Solving 12 + -7m + 12m2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1 + -0.5833333333m + m2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.5833333333m + -1 + m2 = 0 + -1 Reorder the terms: 1 + -1 + -0.5833333333m + m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5833333333m + m2 = 0 + -1 -0.5833333333m + m2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5833333333m + m2 = -1 The m term is -0.5833333333m. Take half its coefficient (-0.2916666667). Square it (0.08506944446) and add it to both sides. Add '0.08506944446' to each side of the equation. -0.5833333333m + 0.08506944446 + m2 = -1 + 0.08506944446 Reorder the terms: 0.08506944446 + -0.5833333333m + m2 = -1 + 0.08506944446 Combine like terms: -1 + 0.08506944446 = -0.91493055554 0.08506944446 + -0.5833333333m + m2 = -0.91493055554 Factor a perfect square on the left side: (m + -0.2916666667)(m + -0.2916666667) = -0.91493055554 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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