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Simplifying 5ab3 * 4a + 4b = 0 Reorder the terms for easier multiplication: 5 * 4ab3 * a + 4b = 0 Multiply 5 * 4 20ab3 * a + 4b = 0 Multiply ab3 * a 20a2b3 + 4b = 0 Solving 20a2b3 + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 20a2b3 + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 20a2b3 + 0 = 0 + -4b 20a2b3 = 0 + -4b Remove the zero: 20a2b3 = -4b Divide each side by '20b3'. a2 = -0.2b-2 Simplifying a2 = -0.2b-2 Combine like terms: -0.2b-2 + 0.2b-2 = 0.0 a2 + 0.2b-2 = 0.0 Factor out the Greatest Common Factor (GCF), 'b-2'. b-2(a2b2 + 0.2) = 0.0Subproblem 1
Set the factor 'b-2' equal to zero and attempt to solve: Simplifying b-2 = 0 Solving b-2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-2' to each side of the equation. b-2 + -1b-2 = 0 + -1b-2 Remove the zero: 0 = -1b-2 Simplifying 0 = -1b-2 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 '(a2b2 + 0.2)' equal to zero and attempt to solve: Simplifying a2b2 + 0.2 = 0 Reorder the terms: 0.2 + a2b2 = 0 Solving 0.2 + a2b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + a2b2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + a2b2 = 0 + -0.2 a2b2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 a2b2 = -0.2 Divide each side by 'b2'. a2 = -0.2b-2 Simplifying a2 = -0.2b-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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