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Simplifying 25a4 + -30a2 + -27 = 0 Reorder the terms: -27 + -30a2 + 25a4 = 0 Solving -27 + -30a2 + 25a4 = 0 Solving for variable 'a'. Factor a trinomial. (-3 + -5a2)(9 + -5a2) = 0Subproblem 1
Set the factor '(-3 + -5a2)' equal to zero and attempt to solve: Simplifying -3 + -5a2 = 0 Solving -3 + -5a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5a2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5a2 = 0 + 3 -5a2 = 0 + 3 Combine like terms: 0 + 3 = 3 -5a2 = 3 Divide each side by '-5'. a2 = -0.6 Simplifying a2 = -0.6 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 '(9 + -5a2)' equal to zero and attempt to solve: Simplifying 9 + -5a2 = 0 Solving 9 + -5a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5a2 = 0 + -9 -5a2 = 0 + -9 Combine like terms: 0 + -9 = -9 -5a2 = -9 Divide each side by '-5'. a2 = 1.8 Simplifying a2 = 1.8 Take the square root of each side: a = {-1.341640787, 1.341640787}Solution
a = {-1.341640787, 1.341640787}
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