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Simplifying (-3a + -2b + 5) * 3ab = 0 Reorder the terms: (5 + -3a + -2b) * 3ab = 0 Reorder the terms for easier multiplication: 3ab(5 + -3a + -2b) = 0 (5 * 3ab + -3a * 3ab + -2b * 3ab) = 0 Reorder the terms: (15ab + -6ab2 + -9a2b) = 0 (15ab + -6ab2 + -9a2b) = 0 Solving 15ab + -6ab2 + -9a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(5 + -2b + -3a) = 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 '(5 + -2b + -3a)' equal to zero and attempt to solve: Simplifying 5 + -2b + -3a = 0 Reorder the terms: 5 + -3a + -2b = 0 Solving 5 + -3a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -3a + -5 + -2b = 0 + -5 Reorder the terms: 5 + -5 + -3a + -2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a + -2b = 0 + -5 -3a + -2b = 0 + -5 Combine like terms: 0 + -5 = -5 -3a + -2b = -5 Add '2b' to each side of the equation. -3a + -2b + 2b = -5 + 2b Combine like terms: -2b + 2b = 0 -3a + 0 = -5 + 2b -3a = -5 + 2b Divide each side by '-3'. a = 1.666666667 + -0.6666666667b Simplifying a = 1.666666667 + -0.6666666667bSolution
a = {1.666666667 + -0.6666666667b}
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