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Simplifying 50a6 + -2b4c2 = 0 Solving 50a6 + -2b4c2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b4c2' to each side of the equation. 50a6 + -2b4c2 + 2b4c2 = 0 + 2b4c2 Combine like terms: -2b4c2 + 2b4c2 = 0 50a6 + 0 = 0 + 2b4c2 50a6 = 0 + 2b4c2 Remove the zero: 50a6 = 2b4c2 Divide each side by '50'. a6 = 0.04b4c2 Simplifying a6 = 0.04b4c2 Combine like terms: 0.04b4c2 + -0.04b4c2 = 0.00 a6 + -0.04b4c2 = 0.00 Factor a difference between two squares. (a3 + 0.2b2c)(a3 + -0.2b2c) = 0.00Subproblem 1
Set the factor '(a3 + 0.2b2c)' equal to zero and attempt to solve: Simplifying a3 + 0.2b2c = 0 Solving a3 + 0.2b2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-0.2b2c' to each side of the equation. a3 + 0.2b2c + -0.2b2c = 0 + -0.2b2c Combine like terms: 0.2b2c + -0.2b2c = 0.0 a3 + 0.0 = 0 + -0.2b2c a3 = 0 + -0.2b2c Remove the zero: a3 = -0.2b2c Simplifying a3 = -0.2b2c 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 '(a3 + -0.2b2c)' equal to zero and attempt to solve: Simplifying a3 + -0.2b2c = 0 Solving a3 + -0.2b2c = 0 Move all terms containing a to the left, all other terms to the right. Add '0.2b2c' to each side of the equation. a3 + -0.2b2c + 0.2b2c = 0 + 0.2b2c Combine like terms: -0.2b2c + 0.2b2c = 0.0 a3 + 0.0 = 0 + 0.2b2c a3 = 0 + 0.2b2c Remove the zero: a3 = 0.2b2c Simplifying a3 = 0.2b2c 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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