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Simplifying 6ab + -14a2b + 4ab2 = 0 Reorder the terms: 6ab + 4ab2 + -14a2b = 0 Solving 6ab + 4ab2 + -14a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(3 + 2b + -7a) = 0 Ignore the factor 2.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 '(3 + 2b + -7a)' equal to zero and attempt to solve: Simplifying 3 + 2b + -7a = 0 Reorder the terms: 3 + -7a + 2b = 0 Solving 3 + -7a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -7a + -3 + 2b = 0 + -3 Reorder the terms: 3 + -3 + -7a + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7a + 2b = 0 + -3 -7a + 2b = 0 + -3 Combine like terms: 0 + -3 = -3 -7a + 2b = -3 Add '-2b' to each side of the equation. -7a + 2b + -2b = -3 + -2b Combine like terms: 2b + -2b = 0 -7a + 0 = -3 + -2b -7a = -3 + -2b Divide each side by '-7'. a = 0.4285714286 + 0.2857142857b Simplifying a = 0.4285714286 + 0.2857142857bSolution
a = {0.4285714286 + 0.2857142857b}
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