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Simplifying 16m2 + -4m + 36 = 0 Reorder the terms: 36 + -4m + 16m2 = 0 Solving 36 + -4m + 16m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -1m + 4m2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + -1m + 4m2)' equal to zero and attempt to solve: Simplifying 9 + -1m + 4m2 = 0 Solving 9 + -1m + 4m2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.25 + -0.25m + m2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + -0.25m + -2.25 + m2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + -0.25m + m2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -0.25m + m2 = 0 + -2.25 -0.25m + m2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 -0.25m + m2 = -2.25 The m term is -0.25m. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25m + 0.015625 + m2 = -2.25 + 0.015625 Reorder the terms: 0.015625 + -0.25m + m2 = -2.25 + 0.015625 Combine like terms: -2.25 + 0.015625 = -2.234375 0.015625 + -0.25m + m2 = -2.234375 Factor a perfect square on the left side: (m + -0.125)(m + -0.125) = -2.234375 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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