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Simplifying 2M2 + 20M = -74 Reorder the terms: 20M + 2M2 = -74 Solving 20M + 2M2 = -74 Solving for variable 'M'. Reorder the terms: 74 + 20M + 2M2 = -74 + 74 Combine like terms: -74 + 74 = 0 74 + 20M + 2M2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(37 + 10M + M2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(37 + 10M + M2)' equal to zero and attempt to solve: Simplifying 37 + 10M + M2 = 0 Solving 37 + 10M + M2 = 0 Begin completing the square. Move the constant term to the right: Add '-37' to each side of the equation. 37 + 10M + -37 + M2 = 0 + -37 Reorder the terms: 37 + -37 + 10M + M2 = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 10M + M2 = 0 + -37 10M + M2 = 0 + -37 Combine like terms: 0 + -37 = -37 10M + M2 = -37 The M term is 10M. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10M + 25 + M2 = -37 + 25 Reorder the terms: 25 + 10M + M2 = -37 + 25 Combine like terms: -37 + 25 = -12 25 + 10M + M2 = -12 Factor a perfect square on the left side: (M + 5)(M + 5) = -12 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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