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Simplifying (7a3b)(7a + -3b) = 0 Remove parenthesis around (7a3b) 7a3b(7a + -3b) = 0 (7a * 7a3b + -3b * 7a3b) = 0 Reorder the terms: (-21a3b2 + 49a4b) = 0 (-21a3b2 + 49a4b) = 0 Solving -21a3b2 + 49a4b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7a3b'. 7a3b(-3b + 7a) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'a3b' equal to zero and attempt to solve: Simplifying a3b = 0 Solving a3b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b = 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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