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Simplifying 19m + -1(1 + -2m + -1m2) = 20 + m2 19m + (1 * -1 + -2m * -1 + -1m2 * -1) = 20 + m2 19m + (-1 + 2m + 1m2) = 20 + m2 Reorder the terms: -1 + 19m + 2m + 1m2 = 20 + m2 Combine like terms: 19m + 2m = 21m -1 + 21m + 1m2 = 20 + m2 Solving -1 + 21m + 1m2 = 20 + m2 Solving for variable 'm'. Reorder the terms: -1 + -20 + 21m + 1m2 + -1m2 = 20 + m2 + -20 + -1m2 Combine like terms: -1 + -20 = -21 -21 + 21m + 1m2 + -1m2 = 20 + m2 + -20 + -1m2 Combine like terms: 1m2 + -1m2 = 0 -21 + 21m + 0 = 20 + m2 + -20 + -1m2 -21 + 21m = 20 + m2 + -20 + -1m2 Reorder the terms: -21 + 21m = 20 + -20 + m2 + -1m2 Combine like terms: 20 + -20 = 0 -21 + 21m = 0 + m2 + -1m2 -21 + 21m = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -21 + 21m = 0 Factor out the Greatest Common Factor (GCF), '21'. 21(-1 + m) = 0 Ignore the factor 21.Subproblem 1
Set the factor '(-1 + m)' equal to zero and attempt to solve: Simplifying -1 + m = 0 Solving -1 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + m = 0 + 1 m = 0 + 1 Combine like terms: 0 + 1 = 1 m = 1 Simplifying m = 1Solution
m = {1}
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