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Simplifying (m + -7)(m + -7) = 49 Reorder the terms: (-7 + m)(m + -7) = 49 Reorder the terms: (-7 + m)(-7 + m) = 49 Multiply (-7 + m) * (-7 + m) (-7(-7 + m) + m(-7 + m)) = 49 ((-7 * -7 + m * -7) + m(-7 + m)) = 49 ((49 + -7m) + m(-7 + m)) = 49 (49 + -7m + (-7 * m + m * m)) = 49 (49 + -7m + (-7m + m2)) = 49 Combine like terms: -7m + -7m = -14m (49 + -14m + m2) = 49 Add '-49' to each side of the equation. 49 + -14m + -49 + m2 = 49 + -49 Reorder the terms: 49 + -49 + -14m + m2 = 49 + -49 Combine like terms: 49 + -49 = 0 0 + -14m + m2 = 49 + -49 -14m + m2 = 49 + -49 Combine like terms: 49 + -49 = 0 -14m + m2 = 0 Solving -14m + m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-14 + m) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-14 + m)' equal to zero and attempt to solve: Simplifying -14 + m = 0 Solving -14 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + m = 0 + 14 m = 0 + 14 Combine like terms: 0 + 14 = 14 m = 14 Simplifying m = 14Solution
m = {0, 14}
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