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Simplifying 49a3 + -121a = 0 Reorder the terms: -121a + 49a3 = 0 Solving -121a + 49a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-121 + 49a2) = 0 Factor a difference between two squares. a((11 + 7a)(-11 + 7a)) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(11 + 7a)' equal to zero and attempt to solve: Simplifying 11 + 7a = 0 Solving 11 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 7a = 0 + -11 7a = 0 + -11 Combine like terms: 0 + -11 = -11 7a = -11 Divide each side by '7'. a = -1.571428571 Simplifying a = -1.571428571Subproblem 3
Set the factor '(-11 + 7a)' equal to zero and attempt to solve: Simplifying -11 + 7a = 0 Solving -11 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 7a = 0 + 11 7a = 0 + 11 Combine like terms: 0 + 11 = 11 7a = 11 Divide each side by '7'. a = 1.571428571 Simplifying a = 1.571428571Solution
a = {0, -1.571428571, 1.571428571}
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