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Simplifying -49a3 + 36a = 0 Reorder the terms: 36a + -49a3 = 0 Solving 36a + -49a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(36 + -49a2) = 0 Factor a difference between two squares. a((6 + 7a)(6 + -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 '(6 + 7a)' equal to zero and attempt to solve: Simplifying 6 + 7a = 0 Solving 6 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7a = 0 + -6 7a = 0 + -6 Combine like terms: 0 + -6 = -6 7a = -6 Divide each side by '7'. a = -0.8571428571 Simplifying a = -0.8571428571Subproblem 3
Set the factor '(6 + -7a)' equal to zero and attempt to solve: Simplifying 6 + -7a = 0 Solving 6 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7a = 0 + -6 -7a = 0 + -6 Combine like terms: 0 + -6 = -6 -7a = -6 Divide each side by '-7'. a = 0.8571428571 Simplifying a = 0.8571428571Solution
a = {0, -0.8571428571, 0.8571428571}
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