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Simplifying (m4) + -1(2m2) + 3 = 0 m4 + -1(2m2) + 3 = 0 Remove parenthesis around (2m2) m4 + -1 * 2m2 + 3 = 0 Multiply -1 * 2 m4 + -2m2 + 3 = 0 Reorder the terms: 3 + -2m2 + m4 = 0 Solving 3 + -2m2 + m4 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2m2 + -3 + m4 = 0 + -3 Reorder the terms: 3 + -3 + -2m2 + m4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m2 + m4 = 0 + -3 -2m2 + m4 = 0 + -3 Combine like terms: 0 + -3 = -3 -2m2 + m4 = -3 The m term is -2m2. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2m2 + 1 + m4 = -3 + 1 Reorder the terms: 1 + -2m2 + m4 = -3 + 1 Combine like terms: -3 + 1 = -2 1 + -2m2 + m4 = -2 Factor a perfect square on the left side: (m2 + -1)(m2 + -1) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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