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Simplifying 5m2 = 9m + -10 Reorder the terms: 5m2 = -10 + 9m Solving 5m2 = -10 + 9m Solving for variable 'm'. Reorder the terms: 10 + -9m + 5m2 = -10 + 9m + 10 + -9m Reorder the terms: 10 + -9m + 5m2 = -10 + 10 + 9m + -9m Combine like terms: -10 + 10 = 0 10 + -9m + 5m2 = 0 + 9m + -9m 10 + -9m + 5m2 = 9m + -9m Combine like terms: 9m + -9m = 0 10 + -9m + 5m2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + -1.8m + m2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.8m + -2 + m2 = 0 + -2 Reorder the terms: 2 + -2 + -1.8m + m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.8m + m2 = 0 + -2 -1.8m + m2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.8m + m2 = -2 The m term is -1.8m. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8m + 0.81 + m2 = -2 + 0.81 Reorder the terms: 0.81 + -1.8m + m2 = -2 + 0.81 Combine like terms: -2 + 0.81 = -1.19 0.81 + -1.8m + m2 = -1.19 Factor a perfect square on the left side: (m + -0.9)(m + -0.9) = -1.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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