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Simplifying 7ab + 14ab2 + 21a2b = 0 Solving 7ab + 14ab2 + 21a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7ab'. 7ab(1 + 2b + 3a) = 0 Ignore the factor 7.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 '(1 + 2b + 3a)' equal to zero and attempt to solve: Simplifying 1 + 2b + 3a = 0 Reorder the terms: 1 + 3a + 2b = 0 Solving 1 + 3a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3a + -1 + 2b = 0 + -1 Reorder the terms: 1 + -1 + 3a + 2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a + 2b = 0 + -1 3a + 2b = 0 + -1 Combine like terms: 0 + -1 = -1 3a + 2b = -1 Add '-2b' to each side of the equation. 3a + 2b + -2b = -1 + -2b Combine like terms: 2b + -2b = 0 3a + 0 = -1 + -2b 3a = -1 + -2b Divide each side by '3'. a = -0.3333333333 + -0.6666666667b Simplifying a = -0.3333333333 + -0.6666666667bSolution
a = {-0.3333333333 + -0.6666666667b}
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