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Simplifying 0 = 7a2b2 + 3ab3 Reorder the terms: 0 = 3ab3 + 7a2b2 Solving 0 = 3ab3 + 7a2b2 Solving for variable 'a'. Remove the zero: -3ab3 + -7a2b2 = 3ab3 + 7a2b2 + -3ab3 + -7a2b2 Reorder the terms: -3ab3 + -7a2b2 = 3ab3 + -3ab3 + 7a2b2 + -7a2b2 Combine like terms: 3ab3 + -3ab3 = 0 -3ab3 + -7a2b2 = 0 + 7a2b2 + -7a2b2 -3ab3 + -7a2b2 = 7a2b2 + -7a2b2 Combine like terms: 7a2b2 + -7a2b2 = 0 -3ab3 + -7a2b2 = 0 Factor out the Greatest Common Factor (GCF), '-1ab2'. -1ab2(3b + 7a) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 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 '(3b + 7a)' equal to zero and attempt to solve: Simplifying 3b + 7a = 0 Reorder the terms: 7a + 3b = 0 Solving 7a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 7a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 7a + 0 = 0 + -3b 7a = 0 + -3b Remove the zero: 7a = -3b Divide each side by '7'. a = -0.4285714286b Simplifying a = -0.4285714286bSolution
a = {-0.4285714286b}
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