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Simplifying abd(7x + -1) = abc(3x + -9) * findmabc Reorder the terms: abd(-1 + 7x) = abc(3x + -9) * findmabc (-1 * abd + 7x * abd) = abc(3x + -9) * findmabc (-1abd + 7abdx) = abc(3x + -9) * findmabc Reorder the terms: -1abd + 7abdx = abc(-9 + 3x) * findmabc Reorder the terms for easier multiplication: -1abd + 7abdx = abc * abcdfimn(-9 + 3x) Multiply abc * abcdfimn -1abd + 7abdx = a2b2c2dfimn(-9 + 3x) -1abd + 7abdx = (-9 * a2b2c2dfimn + 3x * a2b2c2dfimn) -1abd + 7abdx = (-9a2b2c2dfimn + 3a2b2c2dfimnx) Solving -1abd + 7abdx = -9a2b2c2dfimn + 3a2b2c2dfimnx Solving for variable 'a'. Reorder the terms: -1abd + 7abdx + 9a2b2c2dfimn + -3a2b2c2dfimnx = -9a2b2c2dfimn + 9a2b2c2dfimn + 3a2b2c2dfimnx + -3a2b2c2dfimnx Combine like terms: -9a2b2c2dfimn + 9a2b2c2dfimn = 0 -1abd + 7abdx + 9a2b2c2dfimn + -3a2b2c2dfimnx = 0 + 3a2b2c2dfimnx + -3a2b2c2dfimnx -1abd + 7abdx + 9a2b2c2dfimn + -3a2b2c2dfimnx = 3a2b2c2dfimnx + -3a2b2c2dfimnx Combine like terms: 3a2b2c2dfimnx + -3a2b2c2dfimnx = 0 -1abd + 7abdx + 9a2b2c2dfimn + -3a2b2c2dfimnx = 0 Factor out the Greatest Common Factor (GCF), 'abd'. abd(-1 + 7x + 9abc2fimn + -3abc2fimnx) = 0Subproblem 1
Set the factor 'abd' equal to zero and attempt to solve: Simplifying abd = 0 Solving abd = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abd = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 7x + 9abc2fimn + -3abc2fimnx)' equal to zero and attempt to solve: Simplifying -1 + 7x + 9abc2fimn + -3abc2fimnx = 0 Reorder the terms: -1 + 9abc2fimn + -3abc2fimnx + 7x = 0 Solving -1 + 9abc2fimn + -3abc2fimnx + 7x = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 9abc2fimn + -3abc2fimnx + 1 + 7x = 0 + 1 Reorder the terms: -1 + 1 + 9abc2fimn + -3abc2fimnx + 7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9abc2fimn + -3abc2fimnx + 7x = 0 + 1 9abc2fimn + -3abc2fimnx + 7x = 0 + 1 Combine like terms: 0 + 1 = 1 9abc2fimn + -3abc2fimnx + 7x = 1 Add '-7x' to each side of the equation. 9abc2fimn + -3abc2fimnx + 7x + -7x = 1 + -7x Combine like terms: 7x + -7x = 0 9abc2fimn + -3abc2fimnx + 0 = 1 + -7x 9abc2fimn + -3abc2fimnx = 1 + -7x 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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