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Simplifying m6 = 8m3 + -20 Reorder the terms: m6 = -20 + 8m3 Solving m6 = -20 + 8m3 Solving for variable 'm'. Reorder the terms: 20 + -8m3 + m6 = -20 + 8m3 + 20 + -8m3 Reorder the terms: 20 + -8m3 + m6 = -20 + 20 + 8m3 + -8m3 Combine like terms: -20 + 20 = 0 20 + -8m3 + m6 = 0 + 8m3 + -8m3 20 + -8m3 + m6 = 8m3 + -8m3 Combine like terms: 8m3 + -8m3 = 0 20 + -8m3 + m6 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -8m3 + -20 + m6 = 0 + -20 Reorder the terms: 20 + -20 + -8m3 + m6 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -8m3 + m6 = 0 + -20 -8m3 + m6 = 0 + -20 Combine like terms: 0 + -20 = -20 -8m3 + m6 = -20 The m term is -8m3. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8m3 + 16 + m6 = -20 + 16 Reorder the terms: 16 + -8m3 + m6 = -20 + 16 Combine like terms: -20 + 16 = -4 16 + -8m3 + m6 = -4 Factor a perfect square on the left side: (m3 + -4)(m3 + -4) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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