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Simplifying 332 = 4m2 + -16m + 1088 Reorder the terms: 332 = 1088 + -16m + 4m2 Solving 332 = 1088 + -16m + 4m2 Solving for variable 'm'. Combine like terms: 332 + -1088 = -756 -756 + 16m + -4m2 = 1088 + -16m + 4m2 + -1088 + 16m + -4m2 Reorder the terms: -756 + 16m + -4m2 = 1088 + -1088 + -16m + 16m + 4m2 + -4m2 Combine like terms: 1088 + -1088 = 0 -756 + 16m + -4m2 = 0 + -16m + 16m + 4m2 + -4m2 -756 + 16m + -4m2 = -16m + 16m + 4m2 + -4m2 Combine like terms: -16m + 16m = 0 -756 + 16m + -4m2 = 0 + 4m2 + -4m2 -756 + 16m + -4m2 = 4m2 + -4m2 Combine like terms: 4m2 + -4m2 = 0 -756 + 16m + -4m2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-189 + 4m + -1m2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-189 + 4m + -1m2)' equal to zero and attempt to solve: Simplifying -189 + 4m + -1m2 = 0 Solving -189 + 4m + -1m2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 189 + -4m + m2 = 0 Move the constant term to the right: Add '-189' to each side of the equation. 189 + -4m + -189 + m2 = 0 + -189 Reorder the terms: 189 + -189 + -4m + m2 = 0 + -189 Combine like terms: 189 + -189 = 0 0 + -4m + m2 = 0 + -189 -4m + m2 = 0 + -189 Combine like terms: 0 + -189 = -189 -4m + m2 = -189 The m term is -4m. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4m + 4 + m2 = -189 + 4 Reorder the terms: 4 + -4m + m2 = -189 + 4 Combine like terms: -189 + 4 = -185 4 + -4m + m2 = -185 Factor a perfect square on the left side: (m + -2)(m + -2) = -185 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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