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Simplifying 49a4 + -14a2 = 0 Reorder the terms: -14a2 + 49a4 = 0 Solving -14a2 + 49a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7a2'. 7a2(-2 + 7a2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
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}Solution
a = {0, -0.534522484, 0.534522484}
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