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Simplifying -3m2 + -7m = 6 Reorder the terms: -7m + -3m2 = 6 Solving -7m + -3m2 = 6 Solving for variable 'm'. Reorder the terms: -6 + -7m + -3m2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -7m + -3m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 7m + 3m2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + 7m + 3m2)' equal to zero and attempt to solve: Simplifying 6 + 7m + 3m2 = 0 Solving 6 + 7m + 3m2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2 + 2.333333333m + m2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 2.333333333m + -2 + m2 = 0 + -2 Reorder the terms: 2 + -2 + 2.333333333m + m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2.333333333m + m2 = 0 + -2 2.333333333m + m2 = 0 + -2 Combine like terms: 0 + -2 = -2 2.333333333m + m2 = -2 The m term is 2.333333333m. Take half its coefficient (1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. 2.333333333m + 1.361111112 + m2 = -2 + 1.361111112 Reorder the terms: 1.361111112 + 2.333333333m + m2 = -2 + 1.361111112 Combine like terms: -2 + 1.361111112 = -0.638888888 1.361111112 + 2.333333333m + m2 = -0.638888888 Factor a perfect square on the left side: (m + 1.166666667)(m + 1.166666667) = -0.638888888 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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