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Simplifying 14m2 = 12m + -9 Reorder the terms: 14m2 = -9 + 12m Solving 14m2 = -9 + 12m Solving for variable 'm'. Reorder the terms: 9 + -12m + 14m2 = -9 + 12m + 9 + -12m Reorder the terms: 9 + -12m + 14m2 = -9 + 9 + 12m + -12m Combine like terms: -9 + 9 = 0 9 + -12m + 14m2 = 0 + 12m + -12m 9 + -12m + 14m2 = 12m + -12m Combine like terms: 12m + -12m = 0 9 + -12m + 14m2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.6428571429 + -0.8571428571m + m2 = 0 Move the constant term to the right: Add '-0.6428571429' to each side of the equation. 0.6428571429 + -0.8571428571m + -0.6428571429 + m2 = 0 + -0.6428571429 Reorder the terms: 0.6428571429 + -0.6428571429 + -0.8571428571m + m2 = 0 + -0.6428571429 Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000 0.0000000000 + -0.8571428571m + m2 = 0 + -0.6428571429 -0.8571428571m + m2 = 0 + -0.6428571429 Combine like terms: 0 + -0.6428571429 = -0.6428571429 -0.8571428571m + m2 = -0.6428571429 The m term is -0.8571428571m. Take half its coefficient (-0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. -0.8571428571m + 0.1836734694 + m2 = -0.6428571429 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571m + m2 = -0.6428571429 + 0.1836734694 Combine like terms: -0.6428571429 + 0.1836734694 = -0.4591836735 0.1836734694 + -0.8571428571m + m2 = -0.4591836735 Factor a perfect square on the left side: (m + -0.4285714286)(m + -0.4285714286) = -0.4591836735 Can't calculate square root of the right side. The solution to this equation could not be determined.
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