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Simplifying -1(3m + 4) * 5m = 16 Reorder the terms: -1(4 + 3m) * 5m = 16 Reorder the terms for easier multiplication: -1 * 5m(4 + 3m) = 16 Multiply -1 * 5 -5m(4 + 3m) = 16 (4 * -5m + 3m * -5m) = 16 (-20m + -15m2) = 16 Solving -20m + -15m2 = 16 Solving for variable 'm'. Reorder the terms: -16 + -20m + -15m2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -20m + -15m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(16 + 20m + 15m2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(16 + 20m + 15m2)' equal to zero and attempt to solve: Simplifying 16 + 20m + 15m2 = 0 Solving 16 + 20m + 15m2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 1.066666667 + 1.333333333m + m2 = 0 Move the constant term to the right: Add '-1.066666667' to each side of the equation. 1.066666667 + 1.333333333m + -1.066666667 + m2 = 0 + -1.066666667 Reorder the terms: 1.066666667 + -1.066666667 + 1.333333333m + m2 = 0 + -1.066666667 Combine like terms: 1.066666667 + -1.066666667 = 0.000000000 0.000000000 + 1.333333333m + m2 = 0 + -1.066666667 1.333333333m + m2 = 0 + -1.066666667 Combine like terms: 0 + -1.066666667 = -1.066666667 1.333333333m + m2 = -1.066666667 The m term is 1.333333333m. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333m + 0.4444444442 + m2 = -1.066666667 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333m + m2 = -1.066666667 + 0.4444444442 Combine like terms: -1.066666667 + 0.4444444442 = -0.6222222228 0.4444444442 + 1.333333333m + m2 = -0.6222222228 Factor a perfect square on the left side: (m + 0.6666666665)(m + 0.6666666665) = -0.6222222228 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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