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Simplifying (2 + 5n2)(2 + 5n2) = 0 Multiply (2 + 5n2) * (2 + 5n2) (2(2 + 5n2) + 5n2 * (2 + 5n2)) = 0 ((2 * 2 + 5n2 * 2) + 5n2 * (2 + 5n2)) = 0 ((4 + 10n2) + 5n2 * (2 + 5n2)) = 0 (4 + 10n2 + (2 * 5n2 + 5n2 * 5n2)) = 0 (4 + 10n2 + (10n2 + 25n4)) = 0 Combine like terms: 10n2 + 10n2 = 20n2 (4 + 20n2 + 25n4) = 0 Solving 4 + 20n2 + 25n4 = 0 Solving for variable 'n'. Factor a trinomial. (2 + 5n2)(2 + 5n2) = 0Subproblem 1
Set the factor '(2 + 5n2)' equal to zero and attempt to solve: Simplifying 2 + 5n2 = 0 Solving 2 + 5n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5n2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5n2 = 0 + -2 5n2 = 0 + -2 Combine like terms: 0 + -2 = -2 5n2 = -2 Divide each side by '5'. n2 = -0.4 Simplifying n2 = -0.4 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 + 5n2)' equal to zero and attempt to solve: Simplifying 2 + 5n2 = 0 Solving 2 + 5n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5n2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5n2 = 0 + -2 5n2 = 0 + -2 Combine like terms: 0 + -2 = -2 5n2 = -2 Divide each side by '5'. n2 = -0.4 Simplifying n2 = -0.4 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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