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Simplifying (2a2 + 5)(2a2 + -5) = 0 Reorder the terms: (5 + 2a2)(2a2 + -5) = 0 Reorder the terms: (5 + 2a2)(-5 + 2a2) = 0 Multiply (5 + 2a2) * (-5 + 2a2) (5(-5 + 2a2) + 2a2 * (-5 + 2a2)) = 0 ((-5 * 5 + 2a2 * 5) + 2a2 * (-5 + 2a2)) = 0 ((-25 + 10a2) + 2a2 * (-5 + 2a2)) = 0 (-25 + 10a2 + (-5 * 2a2 + 2a2 * 2a2)) = 0 (-25 + 10a2 + (-10a2 + 4a4)) = 0 Combine like terms: 10a2 + -10a2 = 0 (-25 + 0 + 4a4) = 0 (-25 + 4a4) = 0 Solving -25 + 4a4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 4a4 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4a4 = 0 + 25 4a4 = 0 + 25 Combine like terms: 0 + 25 = 25 4a4 = 25 Divide each side by '4'. a4 = 6.25 Simplifying a4 = 6.25 Reorder the terms: -6.25 + a4 = 6.25 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 -6.25 + a4 = 0.00 Factor a difference between two squares. (2.5 + a2)(-2.5 + a2) = 0.00Subproblem 1
Set the factor '(2.5 + a2)' equal to zero and attempt to solve: Simplifying 2.5 + a2 = 0 Solving 2.5 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + a2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a2 = 0 + -2.5 a2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 a2 = -2.5 Simplifying a2 = -2.5 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 '(-2.5 + a2)' equal to zero and attempt to solve: Simplifying -2.5 + a2 = 0 Solving -2.5 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + a2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + a2 = 0 + 2.5 a2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 a2 = 2.5 Simplifying a2 = 2.5 Take the square root of each side: a = {-1.58113883, 1.58113883}Solution
a = {-1.58113883, 1.58113883}
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