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Simplifying 7a4 + -51a2 + 14 = 0 Reorder the terms: 14 + -51a2 + 7a4 = 0 Solving 14 + -51a2 + 7a4 = 0 Solving for variable 'a'. Factor a trinomial. (2 + -7a2)(7 + -1a2) = 0Subproblem 1
Set the factor '(2 + -7a2)' equal to zero and attempt to solve: Simplifying 2 + -7a2 = 0 Solving 2 + -7a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7a2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7a2 = 0 + -2 -7a2 = 0 + -2 Combine like terms: 0 + -2 = -2 -7a2 = -2 Divide each side by '-7'. a2 = 0.2857142857 Simplifying a2 = 0.2857142857 Take the square root of each side: a = {-0.534522484, 0.534522484}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 = {-0.534522484, 0.534522484, -2.645751311, 2.645751311}
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