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Simplifying 14m2 = 17m + -22 Reorder the terms: 14m2 = -22 + 17m Solving 14m2 = -22 + 17m Solving for variable 'm'. Reorder the terms: 22 + -17m + 14m2 = -22 + 17m + 22 + -17m Reorder the terms: 22 + -17m + 14m2 = -22 + 22 + 17m + -17m Combine like terms: -22 + 22 = 0 22 + -17m + 14m2 = 0 + 17m + -17m 22 + -17m + 14m2 = 17m + -17m Combine like terms: 17m + -17m = 0 22 + -17m + 14m2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 1.571428571 + -1.214285714m + m2 = 0 Move the constant term to the right: Add '-1.571428571' to each side of the equation. 1.571428571 + -1.214285714m + -1.571428571 + m2 = 0 + -1.571428571 Reorder the terms: 1.571428571 + -1.571428571 + -1.214285714m + m2 = 0 + -1.571428571 Combine like terms: 1.571428571 + -1.571428571 = 0.000000000 0.000000000 + -1.214285714m + m2 = 0 + -1.571428571 -1.214285714m + m2 = 0 + -1.571428571 Combine like terms: 0 + -1.571428571 = -1.571428571 -1.214285714m + m2 = -1.571428571 The m term is -1.214285714m. Take half its coefficient (-0.607142857). Square it (0.3686224488) and add it to both sides. Add '0.3686224488' to each side of the equation. -1.214285714m + 0.3686224488 + m2 = -1.571428571 + 0.3686224488 Reorder the terms: 0.3686224488 + -1.214285714m + m2 = -1.571428571 + 0.3686224488 Combine like terms: -1.571428571 + 0.3686224488 = -1.2028061222 0.3686224488 + -1.214285714m + m2 = -1.2028061222 Factor a perfect square on the left side: (m + -0.607142857)(m + -0.607142857) = -1.2028061222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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