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Simplifying 2a4 + -4a2 + -70 = 0 Reorder the terms: -70 + -4a2 + 2a4 = 0 Solving -70 + -4a2 + 2a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-35 + -2a2 + a4) = 0 Factor a trinomial. 2((-5 + -1a2)(7 + -1a2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1a2)' equal to zero and attempt to solve: Simplifying -5 + -1a2 = 0 Solving -5 + -1a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1a2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a2 = 0 + 5 -1a2 = 0 + 5 Combine like terms: 0 + 5 = 5 -1a2 = 5 Divide each side by '-1'. a2 = -5 Simplifying a2 = -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 '(7 + -1a2)' equal to zero and attempt to solve: Simplifying 7 + -1a2 = 0 Solving 7 + -1a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1a2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a2 = 0 + -7 -1a2 = 0 + -7 Combine like terms: 0 + -7 = -7 -1a2 = -7 Divide each side by '-1'. a2 = 7 Simplifying a2 = 7 Take the square root of each side: a = {-2.645751311, 2.645751311}Solution
a = {-2.645751311, 2.645751311}
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