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Simplifying 3(1m2 + 10m + 26) = 0 Reorder the terms: 3(26 + 10m + 1m2) = 0 (26 * 3 + 10m * 3 + 1m2 * 3) = 0 (78 + 30m + 3m2) = 0 Solving 78 + 30m + 3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(26 + 10m + m2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(26 + 10m + m2)' equal to zero and attempt to solve: Simplifying 26 + 10m + m2 = 0 Solving 26 + 10m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + 10m + -26 + m2 = 0 + -26 Reorder the terms: 26 + -26 + 10m + m2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 10m + m2 = 0 + -26 10m + m2 = 0 + -26 Combine like terms: 0 + -26 = -26 10m + m2 = -26 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 = -26 + 25 Reorder the terms: 25 + 10m + m2 = -26 + 25 Combine like terms: -26 + 25 = -1 25 + 10m + m2 = -1 Factor a perfect square on the left side: (m + 5)(m + 5) = -1 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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