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Simplifying (4a2 + -7ab) * 2a3b = 0 Reorder the terms: (-7ab + 4a2) * 2a3b = 0 Reorder the terms for easier multiplication: 2a3b(-7ab + 4a2) = 0 (-7ab * 2a3b + 4a2 * 2a3b) = 0 (-14a4b2 + 8a5b) = 0 Solving -14a4b2 + 8a5b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a4b'. 2a4b(-7b + 4a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a4b' equal to zero and attempt to solve: Simplifying a4b = 0 Solving a4b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4b = 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 '(-7b + 4a)' equal to zero and attempt to solve: Simplifying -7b + 4a = 0 Reorder the terms: 4a + -7b = 0 Solving 4a + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 4a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 4a + 0 = 0 + 7b 4a = 0 + 7b Remove the zero: 4a = 7b Divide each side by '4'. a = 1.75b Simplifying a = 1.75bSolution
a = {1.75b}
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