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Simplifying findmabc(5x + -22)(4x + 4) = 90 Reorder the terms: abcdfimn(-22 + 5x)(4x + 4) = 90 Reorder the terms: abcdfimn(-22 + 5x)(4 + 4x) = 90 Multiply (-22 + 5x) * (4 + 4x) abcdfimn(-22(4 + 4x) + 5x * (4 + 4x)) = 90 abcdfimn((4 * -22 + 4x * -22) + 5x * (4 + 4x)) = 90 abcdfimn((-88 + -88x) + 5x * (4 + 4x)) = 90 abcdfimn(-88 + -88x + (4 * 5x + 4x * 5x)) = 90 abcdfimn(-88 + -88x + (20x + 20x2)) = 90 Combine like terms: -88x + 20x = -68x abcdfimn(-88 + -68x + 20x2) = 90 (-88 * abcdfimn + -68x * abcdfimn + 20x2 * abcdfimn) = 90 (-88abcdfimn + -68abcdfimnx + 20abcdfimnx2) = 90 Solving -88abcdfimn + -68abcdfimnx + 20abcdfimnx2 = 90 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -90 + -88abcdfimn + -68abcdfimnx + 20abcdfimnx2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + -88abcdfimn + -68abcdfimnx + 20abcdfimnx2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-45 + -44abcdfimn + -34abcdfimnx + 10abcdfimnx2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-45 + -44abcdfimn + -34abcdfimnx + 10abcdfimnx2)' equal to zero and attempt to solve: Simplifying -45 + -44abcdfimn + -34abcdfimnx + 10abcdfimnx2 = 0 Solving -45 + -44abcdfimn + -34abcdfimnx + 10abcdfimnx2 = 0 Move all terms containing a to the left, all other terms to the right. Add '45' to each side of the equation. -45 + -44abcdfimn + -34abcdfimnx + 45 + 10abcdfimnx2 = 0 + 45 Reorder the terms: -45 + 45 + -44abcdfimn + -34abcdfimnx + 10abcdfimnx2 = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -44abcdfimn + -34abcdfimnx + 10abcdfimnx2 = 0 + 45 -44abcdfimn + -34abcdfimnx + 10abcdfimnx2 = 0 + 45 Combine like terms: 0 + 45 = 45 -44abcdfimn + -34abcdfimnx + 10abcdfimnx2 = 45 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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