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Simplifying 4m2 + -7m + 14 = 3 Reorder the terms: 14 + -7m + 4m2 = 3 Solving 14 + -7m + 4m2 = 3 Solving for variable 'm'. Reorder the terms: 14 + -3 + -7m + 4m2 = 3 + -3 Combine like terms: 14 + -3 = 11 11 + -7m + 4m2 = 3 + -3 Combine like terms: 3 + -3 = 0 11 + -7m + 4m2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.75 + -1.75m + m2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -1.75m + -2.75 + m2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -1.75m + m2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -1.75m + m2 = 0 + -2.75 -1.75m + m2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -1.75m + m2 = -2.75 The m term is -1.75m. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75m + 0.765625 + m2 = -2.75 + 0.765625 Reorder the terms: 0.765625 + -1.75m + m2 = -2.75 + 0.765625 Combine like terms: -2.75 + 0.765625 = -1.984375 0.765625 + -1.75m + m2 = -1.984375 Factor a perfect square on the left side: (m + -0.875)(m + -0.875) = -1.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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