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Simplifying 98a4 + -252a2 + 162 = 0 Reorder the terms: 162 + -252a2 + 98a4 = 0 Solving 162 + -252a2 + 98a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(81 + -126a2 + 49a4) = 0 Factor a trinomial. 2((9 + -7a2)(9 + -7a2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -7a2)' equal to zero and attempt to solve: Simplifying 9 + -7a2 = 0 Solving 9 + -7a2 = 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 + -7a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7a2 = 0 + -9 -7a2 = 0 + -9 Combine like terms: 0 + -9 = -9 -7a2 = -9 Divide each side by '-7'. a2 = 1.285714286 Simplifying a2 = 1.285714286 Take the square root of each side: a = {-1.133893419, 1.133893419}Subproblem 2
Set the factor '(9 + -7a2)' equal to zero and attempt to solve: Simplifying 9 + -7a2 = 0 Solving 9 + -7a2 = 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 + -7a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7a2 = 0 + -9 -7a2 = 0 + -9 Combine like terms: 0 + -9 = -9 -7a2 = -9 Divide each side by '-7'. a2 = 1.285714286 Simplifying a2 = 1.285714286 Take the square root of each side: a = {-1.133893419, 1.133893419}Solution
a = {-1.133893419, 1.133893419, -1.133893419, 1.133893419}
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