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Simplifying 3m2 + -21m + 90 = 0 Reorder the terms: 90 + -21m + 3m2 = 0 Solving 90 + -21m + 3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(30 + -7m + m2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(30 + -7m + m2)' equal to zero and attempt to solve: Simplifying 30 + -7m + m2 = 0 Solving 30 + -7m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -7m + -30 + m2 = 0 + -30 Reorder the terms: 30 + -30 + -7m + m2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -7m + m2 = 0 + -30 -7m + m2 = 0 + -30 Combine like terms: 0 + -30 = -30 -7m + m2 = -30 The m term is -7m. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7m + 12.25 + m2 = -30 + 12.25 Reorder the terms: 12.25 + -7m + m2 = -30 + 12.25 Combine like terms: -30 + 12.25 = -17.75 12.25 + -7m + m2 = -17.75 Factor a perfect square on the left side: (m + -3.5)(m + -3.5) = -17.75 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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