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Simplifying 7m + 8m(m + -5) = -100 Reorder the terms: 7m + 8m(-5 + m) = -100 7m + (-5 * 8m + m * 8m) = -100 7m + (-40m + 8m2) = -100 Combine like terms: 7m + -40m = -33m -33m + 8m2 = -100 Solving -33m + 8m2 = -100 Solving for variable 'm'. Reorder the terms: 100 + -33m + 8m2 = -100 + 100 Combine like terms: -100 + 100 = 0 100 + -33m + 8m2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 12.5 + -4.125m + m2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + -4.125m + -12.5 + m2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + -4.125m + m2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -4.125m + m2 = 0 + -12.5 -4.125m + m2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 -4.125m + m2 = -12.5 The m term is -4.125m. Take half its coefficient (-2.0625). Square it (4.25390625) and add it to both sides. Add '4.25390625' to each side of the equation. -4.125m + 4.25390625 + m2 = -12.5 + 4.25390625 Reorder the terms: 4.25390625 + -4.125m + m2 = -12.5 + 4.25390625 Combine like terms: -12.5 + 4.25390625 = -8.24609375 4.25390625 + -4.125m + m2 = -8.24609375 Factor a perfect square on the left side: (m + -2.0625)(m + -2.0625) = -8.24609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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