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Simplifying 2m3 + 4m6 = 3 Solving 2m3 + 4m6 = 3 Solving for variable 'm'. Reorder the terms: -3 + 2m3 + 4m6 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 2m3 + 4m6 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.75 + 0.5m3 + m6 = 0 Move the constant term to the right: Add '0.75' to each side of the equation. -0.75 + 0.5m3 + 0.75 + m6 = 0 + 0.75 Reorder the terms: -0.75 + 0.75 + 0.5m3 + m6 = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.5m3 + m6 = 0 + 0.75 0.5m3 + m6 = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 0.5m3 + m6 = 0.75 The m term is 0.5m3. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5m3 + 0.0625 + m6 = 0.75 + 0.0625 Reorder the terms: 0.0625 + 0.5m3 + m6 = 0.75 + 0.0625 Combine like terms: 0.75 + 0.0625 = 0.8125 0.0625 + 0.5m3 + m6 = 0.8125 Factor a perfect square on the left side: (m3 + 0.25)(m3 + 0.25) = 0.8125 Calculate the square root of the right side: 0.901387819 Break this problem into two subproblems by setting (m3 + 0.25) equal to 0.901387819 and -0.901387819.Subproblem 1
m3 + 0.25 = 0.901387819 Simplifying m3 + 0.25 = 0.901387819 Reorder the terms: 0.25 + m3 = 0.901387819 Solving 0.25 + m3 = 0.901387819 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + m3 = 0.901387819 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + m3 = 0.901387819 + -0.25 m3 = 0.901387819 + -0.25 Combine like terms: 0.901387819 + -0.25 = 0.651387819 m3 = 0.651387819 Simplifying m3 = 0.651387819 Reorder the terms: -0.651387819 + m3 = 0.651387819 + -0.651387819 Combine like terms: 0.651387819 + -0.651387819 = 0.000000000 -0.651387819 + m3 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.Subproblem 2
m3 + 0.25 = -0.901387819 Simplifying m3 + 0.25 = -0.901387819 Reorder the terms: 0.25 + m3 = -0.901387819 Solving 0.25 + m3 = -0.901387819 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + m3 = -0.901387819 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + m3 = -0.901387819 + -0.25 m3 = -0.901387819 + -0.25 Combine like terms: -0.901387819 + -0.25 = -1.151387819 m3 = -1.151387819 Simplifying m3 = -1.151387819 Reorder the terms: 1.151387819 + m3 = -1.151387819 + 1.151387819 Combine like terms: -1.151387819 + 1.151387819 = 0.000000000 1.151387819 + m3 = 0.000000000 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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