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Simplifying 0 = m2 + -16m + 256 Reorder the terms: 0 = 256 + -16m + m2 Solving 0 = 256 + -16m + m2 Solving for variable 'm'. Combine like terms: 0 + -256 = -256 -256 + 16m + -1m2 = 256 + -16m + m2 + -256 + 16m + -1m2 Reorder the terms: -256 + 16m + -1m2 = 256 + -256 + -16m + 16m + m2 + -1m2 Combine like terms: 256 + -256 = 0 -256 + 16m + -1m2 = 0 + -16m + 16m + m2 + -1m2 -256 + 16m + -1m2 = -16m + 16m + m2 + -1m2 Combine like terms: -16m + 16m = 0 -256 + 16m + -1m2 = 0 + m2 + -1m2 -256 + 16m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -256 + 16m + -1m2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 256 + -16m + m2 = 0 Move the constant term to the right: Add '-256' to each side of the equation. 256 + -16m + -256 + m2 = 0 + -256 Reorder the terms: 256 + -256 + -16m + m2 = 0 + -256 Combine like terms: 256 + -256 = 0 0 + -16m + m2 = 0 + -256 -16m + m2 = 0 + -256 Combine like terms: 0 + -256 = -256 -16m + m2 = -256 The m term is -16m. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16m + 64 + m2 = -256 + 64 Reorder the terms: 64 + -16m + m2 = -256 + 64 Combine like terms: -256 + 64 = -192 64 + -16m + m2 = -192 Factor a perfect square on the left side: (m + -8)(m + -8) = -192 Can't calculate square root of the right side. The solution to this equation could not be determined.
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