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Simplifying (42abc + -12a2b2 + 3abc) = 0 Reorder the terms: (42abc + 3abc + -12a2b2) = 0 Combine like terms: 42abc + 3abc = 45abc (45abc + -12a2b2) = 0 Remove parenthesis around (45abc + -12a2b2) 45abc + -12a2b2 = 0 Solving 45abc + -12a2b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(15c + -4ab) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(15c + -4ab)' equal to zero and attempt to solve: Simplifying 15c + -4ab = 0 Reorder the terms: -4ab + 15c = 0 Solving -4ab + 15c = 0 Move all terms containing a to the left, all other terms to the right. Add '-15c' to each side of the equation. -4ab + 15c + -15c = 0 + -15c Combine like terms: 15c + -15c = 0 -4ab + 0 = 0 + -15c -4ab = 0 + -15c Remove the zero: -4ab = -15c Divide each side by '-4b'. a = 3.75b-1c Simplifying a = 3.75b-1cSolution
a = {3.75b-1c}
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