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Simplifying (5a3 + 1)(5a3 + -1) = 0 Reorder the terms: (1 + 5a3)(5a3 + -1) = 0 Reorder the terms: (1 + 5a3)(-1 + 5a3) = 0 Multiply (1 + 5a3) * (-1 + 5a3) (1(-1 + 5a3) + 5a3 * (-1 + 5a3)) = 0 ((-1 * 1 + 5a3 * 1) + 5a3 * (-1 + 5a3)) = 0 ((-1 + 5a3) + 5a3 * (-1 + 5a3)) = 0 (-1 + 5a3 + (-1 * 5a3 + 5a3 * 5a3)) = 0 (-1 + 5a3 + (-5a3 + 25a6)) = 0 Combine like terms: 5a3 + -5a3 = 0 (-1 + 0 + 25a6) = 0 (-1 + 25a6) = 0 Solving -1 + 25a6 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 25a6 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 25a6 = 0 + 1 25a6 = 0 + 1 Combine like terms: 0 + 1 = 1 25a6 = 1 Divide each side by '25'. a6 = 0.04 Simplifying a6 = 0.04 Reorder the terms: -0.04 + a6 = 0.04 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 -0.04 + a6 = 0.00 Factor a difference between two squares. (0.2 + a3)(-0.2 + a3) = 0.00Subproblem 1
Set the factor '(0.2 + a3)' equal to zero and attempt to solve: Simplifying 0.2 + a3 = 0 Solving 0.2 + a3 = 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 + a3 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + a3 = 0 + -0.2 a3 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 a3 = -0.2 Simplifying a3 = -0.2 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 '(-0.2 + a3)' equal to zero and attempt to solve: Simplifying -0.2 + a3 = 0 Solving -0.2 + a3 = 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 + a3 = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + a3 = 0 + 0.2 a3 = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 a3 = 0.2 Simplifying a3 = 0.2 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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