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Simplifying 25m + 11 = 6m2 + 15m + 18 Reorder the terms: 11 + 25m = 6m2 + 15m + 18 Reorder the terms: 11 + 25m = 18 + 15m + 6m2 Solving 11 + 25m = 18 + 15m + 6m2 Solving for variable 'm'. Reorder the terms: 11 + -18 + 25m + -15m + -6m2 = 18 + 15m + 6m2 + -18 + -15m + -6m2 Combine like terms: 11 + -18 = -7 -7 + 25m + -15m + -6m2 = 18 + 15m + 6m2 + -18 + -15m + -6m2 Combine like terms: 25m + -15m = 10m -7 + 10m + -6m2 = 18 + 15m + 6m2 + -18 + -15m + -6m2 Reorder the terms: -7 + 10m + -6m2 = 18 + -18 + 15m + -15m + 6m2 + -6m2 Combine like terms: 18 + -18 = 0 -7 + 10m + -6m2 = 0 + 15m + -15m + 6m2 + -6m2 -7 + 10m + -6m2 = 15m + -15m + 6m2 + -6m2 Combine like terms: 15m + -15m = 0 -7 + 10m + -6m2 = 0 + 6m2 + -6m2 -7 + 10m + -6m2 = 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 -7 + 10m + -6m2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 1.166666667 + -1.666666667m + m2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -1.666666667m + -1.166666667 + m2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -1.666666667m + m2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -1.666666667m + m2 = 0 + -1.166666667 -1.666666667m + m2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -1.666666667m + m2 = -1.166666667 The m term is -1.666666667m. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667m + 0.6944444447 + m2 = -1.166666667 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667m + m2 = -1.166666667 + 0.6944444447 Combine like terms: -1.166666667 + 0.6944444447 = -0.4722222223 0.6944444447 + -1.666666667m + m2 = -0.4722222223 Factor a perfect square on the left side: (m + -0.8333333335)(m + -0.8333333335) = -0.4722222223 Can't calculate square root of the right side. The solution to this equation could not be determined.
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