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Simplifying -4m2 + 20m + -56 = 0 Reorder the terms: -56 + 20m + -4m2 = 0 Solving -56 + 20m + -4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-14 + 5m + -1m2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-14 + 5m + -1m2)' equal to zero and attempt to solve: Simplifying -14 + 5m + -1m2 = 0 Solving -14 + 5m + -1m2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 14 + -5m + m2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -5m + -14 + m2 = 0 + -14 Reorder the terms: 14 + -14 + -5m + m2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5m + m2 = 0 + -14 -5m + m2 = 0 + -14 Combine like terms: 0 + -14 = -14 -5m + m2 = -14 The m term is -5m. 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. -5m + 6.25 + m2 = -14 + 6.25 Reorder the terms: 6.25 + -5m + m2 = -14 + 6.25 Combine like terms: -14 + 6.25 = -7.75 6.25 + -5m + m2 = -7.75 Factor a perfect square on the left side: (m + -2.5)(m + -2.5) = -7.75 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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