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Simplifying 2m(m + -2) + -16 = -26 + 2(m + -3) Reorder the terms: 2m(-2 + m) + -16 = -26 + 2(m + -3) (-2 * 2m + m * 2m) + -16 = -26 + 2(m + -3) (-4m + 2m2) + -16 = -26 + 2(m + -3) Reorder the terms: -16 + -4m + 2m2 = -26 + 2(m + -3) Reorder the terms: -16 + -4m + 2m2 = -26 + 2(-3 + m) -16 + -4m + 2m2 = -26 + (-3 * 2 + m * 2) -16 + -4m + 2m2 = -26 + (-6 + 2m) Combine like terms: -26 + -6 = -32 -16 + -4m + 2m2 = -32 + 2m Solving -16 + -4m + 2m2 = -32 + 2m Solving for variable 'm'. Reorder the terms: -16 + 32 + -4m + -2m + 2m2 = -32 + 2m + 32 + -2m Combine like terms: -16 + 32 = 16 16 + -4m + -2m + 2m2 = -32 + 2m + 32 + -2m Combine like terms: -4m + -2m = -6m 16 + -6m + 2m2 = -32 + 2m + 32 + -2m Reorder the terms: 16 + -6m + 2m2 = -32 + 32 + 2m + -2m Combine like terms: -32 + 32 = 0 16 + -6m + 2m2 = 0 + 2m + -2m 16 + -6m + 2m2 = 2m + -2m Combine like terms: 2m + -2m = 0 16 + -6m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -3m + m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -3m + m2)' equal to zero and attempt to solve: Simplifying 8 + -3m + m2 = 0 Solving 8 + -3m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -3m + -8 + m2 = 0 + -8 Reorder the terms: 8 + -8 + -3m + m2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3m + m2 = 0 + -8 -3m + m2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3m + m2 = -8 The m term is -3m. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3m + 2.25 + m2 = -8 + 2.25 Reorder the terms: 2.25 + -3m + m2 = -8 + 2.25 Combine like terms: -8 + 2.25 = -5.75 2.25 + -3m + m2 = -5.75 Factor a perfect square on the left side: (m + -1.5)(m + -1.5) = -5.75 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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