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Simplifying 50a4b + -32b3 = 0 Solving 50a4b + -32b3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32b3' to each side of the equation. 50a4b + -32b3 + 32b3 = 0 + 32b3 Combine like terms: -32b3 + 32b3 = 0 50a4b + 0 = 0 + 32b3 50a4b = 0 + 32b3 Remove the zero: 50a4b = 32b3 Divide each side by '50b'. a4 = 0.64b2 Simplifying a4 = 0.64b2 Combine like terms: 0.64b2 + -0.64b2 = 0.00 a4 + -0.64b2 = 0.00 Factor a difference between two squares. (a2 + 0.8b)(a2 + -0.8b) = 0.00Subproblem 1
Set the factor '(a2 + 0.8b)' equal to zero and attempt to solve: Simplifying a2 + 0.8b = 0 Solving a2 + 0.8b = 0 Move all terms containing a to the left, all other terms to the right. Add '-0.8b' to each side of the equation. a2 + 0.8b + -0.8b = 0 + -0.8b Combine like terms: 0.8b + -0.8b = 0.0 a2 + 0.0 = 0 + -0.8b a2 = 0 + -0.8b Remove the zero: a2 = -0.8b Simplifying a2 = -0.8b 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 '(a2 + -0.8b)' equal to zero and attempt to solve: Simplifying a2 + -0.8b = 0 Solving a2 + -0.8b = 0 Move all terms containing a to the left, all other terms to the right. Add '0.8b' to each side of the equation. a2 + -0.8b + 0.8b = 0 + 0.8b Combine like terms: -0.8b + 0.8b = 0.0 a2 + 0.0 = 0 + 0.8b a2 = 0 + 0.8b Remove the zero: a2 = 0.8b Simplifying a2 = 0.8b 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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