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Simplifying 4m2 + 8m + 10 = 0 Reorder the terms: 10 + 8m + 4m2 = 0 Solving 10 + 8m + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 4m + 2m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 4m + 2m2)' equal to zero and attempt to solve: Simplifying 5 + 4m + 2m2 = 0 Solving 5 + 4m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + 2m + m2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 2m + -2.5 + m2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 2m + m2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 2m + m2 = 0 + -2.5 2m + m2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 2m + m2 = -2.5 The m term is 2m. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2m + 1 + m2 = -2.5 + 1 Reorder the terms: 1 + 2m + m2 = -2.5 + 1 Combine like terms: -2.5 + 1 = -1.5 1 + 2m + m2 = -1.5 Factor a perfect square on the left side: (m + 1)(m + 1) = -1.5 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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