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Simplifying -5m2 + -26m + -63 = 0 Reorder the terms: -63 + -26m + -5m2 = 0 Solving -63 + -26m + -5m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-1'. -1(63 + 26m + 5m2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(63 + 26m + 5m2)' equal to zero and attempt to solve: Simplifying 63 + 26m + 5m2 = 0 Solving 63 + 26m + 5m2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12.6 + 5.2m + m2 = 0 Move the constant term to the right: Add '-12.6' to each side of the equation. 12.6 + 5.2m + -12.6 + m2 = 0 + -12.6 Reorder the terms: 12.6 + -12.6 + 5.2m + m2 = 0 + -12.6 Combine like terms: 12.6 + -12.6 = 0.0 0.0 + 5.2m + m2 = 0 + -12.6 5.2m + m2 = 0 + -12.6 Combine like terms: 0 + -12.6 = -12.6 5.2m + m2 = -12.6 The m term is 5.2m. Take half its coefficient (2.6). Square it (6.76) and add it to both sides. Add '6.76' to each side of the equation. 5.2m + 6.76 + m2 = -12.6 + 6.76 Reorder the terms: 6.76 + 5.2m + m2 = -12.6 + 6.76 Combine like terms: -12.6 + 6.76 = -5.84 6.76 + 5.2m + m2 = -5.84 Factor a perfect square on the left side: (m + 2.6)(m + 2.6) = -5.84 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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